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Abhay Ashtekar:   Publications


SCIENTIFIC BOOKS:

  1. A. Magnon and A. Ashtekar, Translation from French of Elie Cartan's work, "Sur les Varietes a Connexion Affine et la Relativite Generale" with a Commentary and Foreword by A. Trautman. Bibliopolis, Naples, 1986, 199 pages.

  2. A. Ashtekar, Asymptotic Quantization. Bibliopolis, Naples, 1987, 107 pages.

  3. A. Ashtekar, (with invited contributions) New Perspectives in Canonical Gravity.Bibliopolis, Naples, 1988, 324 pages.

  4. A. Ashtekar and J. Stachel, Editors; Conceptual Problems of Quantum Gravity. Proceedings of the 1988 Osgood Hill Conference (Birkhauser, N. Y., 1991), 602 pages.

  5. A. Ashtekar, Lectures on Non-perturbative Canonical Gravity, (Notes prepared in collaboration with R.S. Tate), (World Scientific Singapore, 1991), 334 pages.

  6. A. Ashtekar, R.C. Cohen, D. Howard, J. Renn, S. Sarkar and A. Shimony (Editors), Revisiting the Foundations of Relativisitic Physics, Festschrift in honor of John Stachel, Boston Studies in Phylosophy of Science, Volume 234, (Kluwer Academic, 2003).

  7. A. Ashtekar (Editor), 100 Years of Relativity  -  Space-Time structure: Einstein and Beyond (World Scientific, Singapore, 2005).


SCIENTIFIC PAPERS:
  1. A. Ashtekar, and R. Geroch, Quantum Theory of Gravitation, Reports in Progress of Physics, 37, 1211-1256 (1974).

  2. A. Ashtekar and A. Magnon, The Sagnac Effect in General Relativity, Journal of Mathematical Physics, 16, 341-344 (1975).

  3. A. Ashtekar and A. Magnon, Quantan Fields in Curved Space-times, Proceedings of the Royal Society (London), A346, 375-394, (1975).

  4. A. Ashtekar and A. Magnon, Une Classe des Representations des Relations de Commutations Canoniques en Espace-temps Courbes, Comptes Rendus, Academie des Sciences (Paris) 280, 741-744 (1975).

  5. A. Ashtekar and A. Magnon, Sur Une Classe des Representations des Relations de Commutations en Espace-temps Courbes, Comptes Rendus, Academie des Sciences (Paris) 280, 833-8836, (1975).

  6. A. Ashtekar and A. Magnon, Sublimation d'ergospheres, Comptes Rendus Academie des Sciences (Paris), 281, 875-878 (1975).

  7. A. Ashtekar and R. O. Hansen, A Unified Treatment of Spatial and Null Infinity in General Relativity: Universal Structure, Asymptotic Symmetries and conserved Quantities at Spatial Infinity, Journal of Mathematical Physics, 19, 1542-1566 (1978).

  8. A. Ashtekar and A. Magnon, A Technique for Analyzing the Structure of Isometries, Journal of Mathematical Physics, 19, 1567-1572 (1978).

  9. A. Ashtekar and A. Sen, Quantum Fields in Curved Space-times: Existence and Uniqueness of the Vacuum State, Enrico Fermi Institute (Chicago) report (1978).

  10. A. Ashtekar and B. C. Xanthopoulos, Isometries Compatible With Asymptotic Flatness at Null Infinity, Journal of Mathematical Physics, 19, 2216-1122 (1978).

  11. A. Ashtekar, Gravitational Interaction and Spontaneous breaking of Symmetries, 1977 Gravity Prized Essay, Published in General Relativity and Gravitation 9, 3-7 (1978).

  12. A. Ashtekar a and A. Magnon, Une Remarque Concernant la Theorie Quantique des Champs en Espace-temps Courbes, Comptes Rendus, Academie des Sciences (Paris). 286, 531-534 (1978).

  13. A. Ashtekar and M. Streubel, On Angular Momentum of Stationary Gravitating Systems, Journal of Mathematical Physics, 20, 1362-1365 (1979).

  14. A. Ashtekar and A. Magnon, Energy-momentum in General Relativity, Physical Review Letters, 43, 181-184 (1979).

  15. A. Ashtekar and A. Sen, Some Geometric Aspects of Quantum Field Theory, In: The Proceedings of the 1979 Journees Relativistes ( University of Angers Press, Angers, France, 1979).

  16. A. Ashtekar a and A. Magnon, Conserved Quantities in General Relativity, Journal of Mathematical Physics 20, 1793-800 (1979).

  17. A. Ashtekar, Asymptotic Structure of the Gravitational Field at Spatial Infinity, In: General Relativity and Gravitation: One Hundred Years After the birth of Albert Einstein, edited by A. Held, (Plenum, New York, 1980).

  18. A. Ashtekar, Angular Momentum in General Relativity, In: Relativity and Cosmology, Edited by P. G. Bergmann and V. de Sabbatta (Plenum, New York, 1980).

  19. A. Ashtekar, On the Relation Between Classical and Quantum Observables, Communications in Mathematical Physics, 71, 59-64 (1980).

  20. A. Ashtekar and A. Sen, On the Role of Space-time Topology in Quantum Phenomena: Emergence of Non-trivial Vacua and Superselection of Charge, Journal of Mathematical Physics, 21, 862-867 (1980).

  21. A. Ashtekar and A. Magnon, A Geometrical Approach to External Potential Problems in Quantum Field Theory, General Relativity and Gravitation, 12, 205-223 (1980).

  22. A. Ashtekar, Relativite: La Revolution Solitaire d'Einstein, Address given to the Societe Francaise de Physique in 1979 on the occasion of the 100th Birthday of Albert Einstein, Published by the Clermont Fd. Chapter of the Societe (1980).

  23. A. Ashtekar and B. G. Schmidt, Null Infinity and Killing Fields, Journal of Mathematical Physics, 21, 862-867 (1980).

  24. A. Ashtekar and A. Magnon, A curiosity Concerning the Role of Coherent States in Quantum Field Theory, Pramana 15, 107-115 (1980).

  25. A. Ashtekar, On Quantum Aspects of Gravitation, Current Science, 49, 763-769 (1980).

  26. A. Ashtekar, Quantization of the Radiative Modes of the Gravitational Field, In: Quantum Gravity 2; Edited by C. J. Isham, R. Penrose, and D. W. Sciama (Oxford University Press, Oxford, 1981).

  27. A. Ashtekar and M. Streubel, Symplectic Geometry of Radiative Modes and Conseved Quantities at Null Infinity, Proceedings of the Royal Society (London), A376, 585-607 (1981).

  28. A. Ashtekar, Asymptotic Quantization of the Gravitational Field, Physical Review Letters, 46, 573-577 (1981).

  29. A. Ashtekar and T. Dray, On the Existence of Solutions to the Einstein Equation with on-zero Bondi News, Communications in Mathematical Physics, 79, 581-599 (1981).

  30. A. Ashtekar and K. S. Narain, Infrared Problems in Quantum Field Theory and Penrose's Null Infinity, Syracuse University Report, Presented at the VIth International Conference on Mathematical Physics (1981).

  31. A. Ashtekar, Radiative Degrees of Freedom of the Gravitational Field in Exact General Relativity, Journal of Mathematical Physics.22, 2885-2895 (1981).

  32. A. Ashtekar, From General Relativity to Quantum Gravity: A Status Report, In: Mathematical Problems in Theoretical Physics, Edited by R. Schrader, R. Seiler and D. A. Uhlenbrock (Springer-Verlag, Berlin, 1981).

  33. A. Ashtekar, Null Infinity and Killing Fields, Zentralblat fur Mathematik, 45.53047 (An Updated Summary of J. Math. Phys. 21, 862 (1980) by invitation of the Editor).

  34. A. Ashtekar and A. Magnon, A Geometrical Approach to External Potential Problems in Quantum Field Theory, Zentrablatt fur Mathematik 452.53043 ( An updated summary of Gen. Rel. and Grav. 12,2205 (1980) by invitation of the Editor).

  35. A. Ashtekar, G. T. Horowitz and A. Magnon, A Generalized Tensor Calculus and its Applications to physics, General Relativity and Gravitation 14,411-428 (1982).

  36. A. Ashtekar and A. Magnon, On the Symplectic Structure of General Relativity, Communications in Mathematical Physics, 86, 55-68 (1982).

  37. A. Ashtekar and G. T. Horowitz, Energy-Momentum of Isolated Systems Cannot be Null, Physics Letters 89A, 181-185 (1982).

  38. A. Ashtekar and A. Sen, NUT 4-Momenta Are Forever, Journal of Mathematical Physics, 23, 2168-2178 (1982).

  39. A. Ashtekar and J. Winicour, Linkages and Hamiltonians at Null Infinity, Journal of Mathematical Physics, 23, 2410-2417 (1982).

  40. A. Ashtekar and G. T. Horowitz, On the Canonical Approach to Quantum Gravity, Physical Review D26, 3342-3353 (1982).

  41. A. Ashtekar, Equations of Motion: The State of the Art, In: Gravitational Radiation, Edited by N. Deruelle and S. Pirain, (North-Holland Amsterdam, 19883).

  42. A. Ashtekar, On the Hamiltonian of General Relativity, Physics A124, 51-60. (1984).

  43. A. Ashtekar and G. T. Horowitz, Phase-space of General Relativity Revisited: A Canonical Choice of Time and Simplification of the Hamiltonian, Journal of Mathematical Physics, 25, 1473-13480 (1984).

  44. A. Ashtekar, Asymptotic Properties of Isolated Systems: Recent Developments, In: The Proceedings of the 10th International Conference on General Relativity and Gravitation, Edited by B. Bertotti, F. de Felice and A. Pascolini (D. Reidel, Dordrecht, 1984).

  45. A. Ashtekar, Proceedings of the Workshop on Quantum Gravity, in the volume cited in Ref. 44.

  46. A. Ashtekar and A. Magnon, From i to 3+1 Descriptions of Spatial Infinity, Journal of Mathematical Physics, 25, 2682-2690 (1984).

  47. A. Ashtekar, On the Boundary Conditions on Gravitational and Gauge Fields at Spatial Infinity, In: Mass and Asymptotic Behavior of Space-time Geometry, Edited by F. Flaherty (Springer-Verlag, Berlin 1984).

  48. A. Ashtekar and A. Magnon, Asymptotically anti-de Sitter Space-times, Classical and Quantum Gravity Letters, 1, L39-L41 (1984).

  49. A. Ashtekar, Gravitation Quantique, La Recherche, 15, 1400-1409 (1984).

  50. A. Ashtekar and K. S. Narain, Restoration of Broken Symmetry and Generaton of a Mass-gap. In: Random Walk in Relativity and Cosmology, a Festschrift for P. C. Vaidya and A. K. Raychaudhurei, (Eastern Wiley, New Delhi, 1985).

  51. A. Ashtekar, Logarithmic Ambiguities in the Description of Spatial Infinity, Foundations of Physics, 15, 419-435, (1985).

  52. A. Ashtekar, Self-duality and Spinorial Techniques in the Canonical Approach to Quantum Gravity, In: Quantum Concepts in Space and Time, Edited by C. J. Isham and R. Penrose, (Oxford University Press, Oxford, 1986).

  53. A. Ashtekar, On the Boundary Conditions for Gravitational and Gauge Fields at Spatial Infinity; Zentrablatt 26, 202-95 (1985) (An Updated Summary of Ref. 47 , by invitation of the Editors).

  54. A. Ashtekar and M. Stillerman, Geometric Quantization and Constrained Systems, Journal of Mathematical Physics, 27, 1319-1330, (1986).

  55. A. Ashtekar, A Note on Self-duality and Helicity, Journal of Mathematical Physics 27, 824-827 (1986).

  56. A. Ashtekar, New Variables for Classical and Quantum Gravity, Physical Review Letters, 57, 2244-2247 (1986).

  57. A. Ashtekar, L. Bombelli, and R. Koul, Phase Space Formulation of General Relativity Without 3+1 Splitting. In: The Physics of Phase Space, Edited by Y. S. Kim and W. W. Zachary (Springer-Verlag, Berlin, 1987).

  58. A. Ashtekar, Einstein Constraints in the Yang-Mills form, In: Constraint's Theory and Relativistic Dynamics, Edited by G. Longhi and L. Lusanna, (World Scientific, 1987).

  59. A. Ashtekar, A New Hamiltonian Formulation of General Relativity, Physical Review, D 36, 1587-1603 (1987).

  60. A. Ashtekar, Lectures on New Variables, Notes by R. V. Kulkarni and J. Samuel Poona University publication, (1987).

  61. A. Ashtekar, P. Mazur and C. G. Torre, BRST Structure of General Relativity in Terms of New Variables, Physical Review D36, 1587-1603 (1987).

  62. A. Ashtekar, A. 3+1 Formulation of Einstein Self-duality, In: Mathematics and General Relativity, Edited by J. Isenberg (American Mathematical Society, Providence, 1988).

  63. A. Ashtekar, T. Jacobson and L. Smolin, A New Characterization of Half-flat Solutions to Einstein's Equation, Communications in Mathematical Physics ,11, 631-648 (1988).

  64. A. Ashtekar, Micro-structure of Space-time in Quantum Gravity, In: The Proceedings of the 8th Workshop on Grand Unification, Edited by K. C. Wali (World Scientific, Singapore, 1988).

  65. A. Ashtekar, New Perspectives in Canonical Quantum Gravity, In: Highlights in Gravitation and Cosmology, edited by B. R. Iyer, A. Kembhavi, J. V. Narlikar, and C. V. Vishveshwara (Cambridge University Press, Cambridge, 1988).

  66. A. Ashtekar, A. P. Balachandran and S. G. Jo. The CP-Problem in Quantum Gravity, International Journal of Modern Physics, A4, 1493-1514 (1989).

  67. A. Ashtekar, J. D. Romano and R. Tate, New Variables for Gravity: Inclusion of Matter, Physical Review D 40, 2572-2587 (1989).

  68. A. Ashtekar, Recent Development in Hamiltonian Gravity, In: The Proceedings of the IXth International Conference on Mathematical Physics, edited by B. Simon, I. M. Davies and A. Truman (Adam-Higler, Bristol 1989).

  69. A. Ashtekar, Non-perturbative Quantum Gravity: A Status Report, In: General Relativity and Gravitational Physics, edited by M. Cerdonio, R. Cianci, M. Francaviglia, and M. Toller (World Scientific, Singapore, 1989).

  70. A. Ashtekar and J. D. Romano, Key 3+1 Equations in terms of New Variables (for numerical relativity). (SU Report, 1989).

  71. A. Ashtekar, Recent Developments in Quantum Gravity. Proceedings of the Texas Symposium on Relativistic Astrophysics, E. J. Fenyves (ed.) (New York Academy of Science, New York, 1989).

  72. A. Ashtekar, and J. D. Romano, Chern-Simons and Palatini Action and (2+1) Gravity, Physics Letters B. 229, 56-60, (1989).

  73. A. Ashtekar, V. Husain, C. Rovelli, J. Samuel, and L. Smolin, (2+1) Quantum Gravity as a Toy model for the (3+1) theory, Classical and Quantum Gravity 6, L185-L193 (1989).

  74. A. Ashtekar and J. Pullin, Bianchi Cosmologies: A New Description, In: Developments in General Relativity, Astrophysics and Cosmology, Annals of the Israel Physical Society, Vol 9, edited by F. Cooperstock, L. P. Horowitz, and J. Rosen, P 65-76, (Israel Physical Society, Jerusalem, 1990).

  75. A. Ashtekar, Self Duality, Quantum Gravity, Wilson Loops and All That, In: General Relativity and Gravitation, edited by N. Ashby, D. F. Bartlett, and W. Wyss, (Cambridge University Press, Cambridge, 1990).

  76. A. Ashtekar, L. Bombelli, and O. Reula, Covariant Phase Space of Asymptotically flat Gravitational Fields; In: Mechanics, Analysis and Geometry: 200 Years after Lagrange. Edited by M. Francaviglia and D. Holm (North Holland, Amsterdam 1990).

  77. A. Ashtekar, Lessons from (2+1) - dimensional Gravity In: Strings '90. Edited by R. Arnowitt et al. (World Scientific, Singapore, 1990).

  78. A. Ashtekar (Notes prepared in Collaboration with R. Tate), Non-perturbative Canonical Gravity, based on IUCAA-Poona Lectures , IUCAA Publication 1 (1990).

  79. A. Ashtekar, The Winding Road to Quantum Gravity in Conceptual Problems of Quantum Gravity, Edited by A. Ashtekar and J. Stachel (Birkhauser, Boston, 1991).

  80. A. Ashtekar, Old Problems in the Light of New Variables, In: Conceptual Problems of Quantum Gravity in OP, Cit.

  81. A. Ashtekar, Canonical Quantum Gravity, In: The Proceedings of the 1990 Banff Workshop on Gravitational Physics, Edited by R. Mann (World Scientific, Singapore 1991), and in the Proceedings of SILARG VIII Conference, Edited by M. Rosenbaum and M. Ryan, (World Scientific, Singapore, 1991).

  82. A. Ashtekar, C. Rovelli, and L. Smolin, Gravitons and Loops, Physical Review D44, 1740-1755, (1991).

  83. A. Ashtekar and J. Samuel, Bianchi Cosmologies: The Role of Spatial Topology Classical and Quantum Gravity, 8, 2191-2215 (1991).

  84. A. Ashtekar and R. Penrose, Mass Positivity from Focussing and Structure of io, Twistor Newsletter, 31 (1991); In: Further Advances in Twistor Theory, Volume II, Edited by L.J. Mason, L.P. Hughston and P.Z. Kobak (Longman and John Wiley and Sons, 1995).

  85. A. Ashtekar, C. Rovelli, and L. Smolin, Self Duality and Quantization, Journal of Geometry and Physics 8, 7-27 (1992).

  86. A. Ashtekar and C. J. Isham, Inequivalent Observable Algebras: A New ambiguity in field quantisation, Physics Letters B274, 393-398 (1992).

  87. A. Ashtekar, Loops, Gauge Fields, and Gravity, to appear In: The Proceedings of the VIth Marcel Grossmann Conference on General Relativity, Edited by T. Nakamura et al; and, In: The Proceedings of the VIIIth Canadian Conference on General Relativity and Gravitation, Edited by G. Kunstatter et al, (World Scientific, Singapore, 1992).

  88. A. Ashtekar and J. D. Romano, Spatial Infinity as a Boundary of Space-time, Classical and Quantum Gravity 9, 1069-1100 (1992).

  89. A. Ashtekar and C. Rovelli , A Loop Representation for the Quantum Maxwell Field, Classical and Quantum Gravity 9, 1121-1150 (1992).

  90. A. Ashtekar and C. J. Isham, Representations of the Holonomy Algebras of Gravity and Non-Abelian Gauge Theories. Classical and Quantum Gravity 9, 1433-1467 (1992).

  91. A. Ashtekar, C. Rovelli and L. Smolin, Weaving a Classical Geometry With Quantum Threads, Physical Review Letters 69, 237-240 (1992).

  92. A. Ashtekar and C. Rovelli, Loops and Quantum General Relativity, Classical and Quantum Gravity 9, S3-S12 (1992).

  93. A. Ashtekar, Lecture Notes by R. S. Tate, Physics in Loop Space; In: Proceedings of the Cochin Advanced School on Gravitation and Cosmology, edited by B.R. Iyer, S.V. Dhurandhar and K. Babu Joseph, (IUCAA, Pune, 1993).

  94. A. Ashtekar, Recent Developments in Classical and Quantum Theories of Connections Including General Relativity, In: The Proceedings of the Second International Conference on Gravitation and Cosmology, edited by C. Vishveshwara (Cambridge University Press, 1993).

  95. A. Ashtekar, Quantum Geometry, In: The Proceedings of the First Iberian Meeting on Gravity, Edited by M.C. Bento, O. Bertolomi and J.M. Mourao; and, String Quantum Gravity and Physics at the Planck Energy Scale, Edited by N. Sanchez, (World Scientific, 1993).

  96. A. Ashtekar, R.S. Tate and C. Uggla, Minisuperspaces: Symmeterics and Quantization, In: Misner Festschrift, Edited by B.L. Hu et al, (Cambridge University Press, 1993).

  97. A. Ashtekar, R.S. Tate and C. Uggla, Minisuperspaces: Observables and Quantization, International Journal of Modern Physics, 2, 15-50 (1993).

  98. A. Ashtekar and J. Lewandowski, Completeness of Wilson-Loop Functionals on the Moduli Space of SL(2,C) and SU(1,1) Connections. Classical and Quantum Gravity, 10, L69-L74 (1993).

  99. A. Ashtekar and J. Lewandowski, Representation Theory of Analytic Holonomy C*-Algebras. In: Knots and Quantum Gravity, edited by J. Baez (Oxford University Press, 1994).

  100. A. Ashtekar, Quantum Gravity: A Mathematical Physics Perspective, In: Mathematical Physics Towards XXIst Century, edited by R.N. Sen and A. Gersten (Ben Gurion University Press, 1994).

  101. A. Ashtekar, Overview and Outlook, In: Canonical Gravity: From Classical to Quantum, edited by J. Ehlers and H. Friedrich (Springer-Verlag, 1994).

  102. A. Ashtekar, D. Marolf and J. Mourão, Integration on the Space of Connections Modulo Gauge Transformations, to appear in the Proceedings of the Lanczos Centennial Conference (SIAM Publishers, 1994).

  103. A. Ashtekar and M. Varadarajan, Some Striking Properties of the Gravitational Hamiltonian, Physical Review D50, 4944-4956 (1994).

  104. A. Ashtekar and R.S. Tate, An Extension of the Dirac Program for Quantization of Constrained Systems: Examples, Journal of Mathematical Physics 34, 6434-6470 (1994).

  105. A. Ashtekar and J. Lee, Weak Field Limit of General Relativity: A New Hamiltonian Formulation. International Journal of Modern Physics, D3, 675-693 (1994).

  106. A. Ashtekar and R. Loll, New Loop Representations for 2+1 Gravity, Classical and Quantum Gravity 11, 2417-2442 (1994).

  107. A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão and T. Thiemann, A Manifestly Gauge Invariant Approach to Quantum Theories of Gauge Fields. In: The Proceedings of the Newton Institute Workshop on Constrained Systems, edited by J. Charap (Cambridge University Press, Cambridge, 1994).

  108. A. Ashtekar, Mathematical Problems of Non-perturbative Quantum General Relativity, Amsterdam, in Gravitation and Quantizations, edited by B. Julia and J. Zinn-Justin, Amsterdam (Elsevier, 1995).

  109. A. Ashtekar, Recent Mathematical Developments in Quantum General Relativity, In: The Proceedings of the VII Marcel Grossmann International Conference, edited by R. Ruffini and M. Keiser (World Scientific, Singapore, 1995), and The Proceedings of PASCOS-94, edited by K.C. Wali (World Scientific, Singapore, 1995). gr-qc/9411055.

  110. A. Ashtekar, J. Lewandowski, Projective Techniques and Functional Integration for Gauge Theories, Journal of Mathematical Physics, 36, 2170-2191 (1995).

  111. A. Ashtekar and T.A. Schilling, Geometry of Quantum Mechanics, in: The Proceedings of the First Canadian-American-Mexican Physical Societies' Conference, edited by A. Zepeda, (American Institute of Physics, NY 1996).

  112. A. Ashtekar and J. Lewandowski, Differential Geometry on the Space of Connections Using Projective Techniques, Journal of Geometry and Physics, 17, 191-230 (1995).

  113. A. Ashtekar, Probing Quantum Geometry, in: The Proceedings of the Puri Workshop on Planck Scale Physics, edited by J. Maharana (World Scientific, Singapore 1995).

  114. A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão, T. Thiemann, Quantization of Diffeomorphism Theories of Connection with Local Degrees of Freedom, Journal of Mathematical Physics 36, 6456-6493 (1995).

  115. A. Ashtekar, Polymer Geometry at Planck Scale and Quantum Einstein's Equations; Acta Cosmologica, XX1-2, 85-110, (1995). Reproduced in: The Proceedings of General Relativity and Gravitation, 1995, edited by M. Francaviglia (World Scientific, Singapore, 1996); The Proceedings of the 1995 Erice Workshop on Planck Scale Physics, edited by N. Sanchez (Kluwer, Amsterdam, 1995), gr-qc/9601054, International Journal of Modern Physics, 5, 629-648 (1996).

  116. A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão and T. Thiemann, Coherent State Transform on the Space of Connections, Journal of Functional Analysis 135, 519-551 (1996).

  117. A. Ashtekar, Generalized Wick Transform for Gravity, Physical Review D53 (Rapid Communications), R2865-69 (1996), gr-qc-9511083.

  118. A. Ashtekar, S. Chandrasekhar's Contributions to General Relativity, Current Science 70, 800-805 (1996).

  119. A. Ashtekar, Large Quantum Gravity Effects: Unforeseen Limitations of Classical Theory, Physical Review Letters 77, 4864-67 (1996), gr-qc/9610008.

  120. A. Ashtekar and M. Pierri, Probing Quantum Gravity Through Exactly Soluble Midi-Superspaces I, Journal of Mathematical Physics, 37, 6250-70 (1996), gr-qc/9606085.

  121. A. Ashtekar, Quantum Gravity: A Personal Perspective, American Chapter of Indian Physics Association 10, no. 4 (1996).

  122. A. Ashtekar and J. Lewandowski, Quantum Theory of Geometry I: Area Operators, Classical and Quantum Gravity, 14, A55-A81 (1997), gr-qc/9602046.

  123. A. Ashtekar, J. Bicak, Bernd G. Schmidt, Asymptotic Structure of Symmetry Reduced General Relativity, Physical Review D 55, 669-686 (1997), gr-qc/960842.

  124. A. Ashtekar, J. Bicak, Bernd G. Schmidt, Behavior of Einstein-Rosen Waves at Null Infinity, Physical Review D 55, 687-694 (1997), gr-qc/960841.

  125. A. Ashtekar and A. Corichi, Photon Inner-Product and the Gauss Linking Number, Classical and Quantum Gravity, 14, A43-A53 (1997), gr-qc/960817.

  126. A. Ashtekar, and J. Lewandowski, Quantum Field Theory of Geometry, In: The Proceedings of the Conference on Historical Examination and Philosophical Reflections on the Foundations of Quantum Field Theory, hep-th/9603083.

  127. P. Aichelburg and A. Ashtekar, Mathematical Problems of Quantum Gravity (Abstracts of seminars presented at the summer '96 Workshop at the Erwin Schrodinger Institute Vienna), gr-qc/9701042.

  128. A. Ashtekar and A. Corichi, Gauss Linking Number and Electromagnetic Uncertainty Principle, Physical Review D56, 2073-2079 (1997), hep-th/9701136.

  129. A. Ashtekar, Quantum Mechanics of Riemannian Geometry, In: the Proceedings of the Barcelona Workshop Fisica I Geometria and Pacific Conference on Gravitation and Cosmology, edited by D. Jou (Institut D'Estudis Catan, Barcelona, 1997).

  130. A. Ashtekar, Geometric Issues in Quantum Gravity, In: Geometric Issues in the Foundation of Science; Penrose Festschrift, edited by L. Mason et al (Oxford University Press 1997).

  131. A. Ashtekar and J. Lewandowski, Quantum Theory of Geometry II, Volume Operators, Advances in Mathematical and Theoretical Physics, 1, 388-429 (1997), gr-qc/9711031.

  132. A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão and T. Thiemann, SU(N) Quantum Yang Mills Theory in Two Dimensions: A Complete Solution, Journal of Mathematical Physics, 38, 5453-5482 (1977), hep-th/9605128.

  133. A. Ashtekar, J. Baez, A. Corichi, and K. Krasnov, Quantum Geometry and Black Hole Entropy, Physical Review Letters, 80, 904-907 (1998), gr-qc/9711031.

  134. A. Ashtekar, S. Chandrasekhar: A Personal Portrait, In: Chandra, Man Behind the Legend, edited by K.-C. Wali (Imperial College Press, London, 1998).

  135. A. Ashtekar and T.A. Schilling, Geometrical Formulation of Quantum Mechanics, in: On Einstein's Path, edited by A. Harvey (Springer-Verlag, Berlin, 1998), gr-qc/9706069.

  136. A. Ashtekar and V. Husain, Symmetry Reduced Einstein Gravity and Generalized ( and Chiral Models, International Journal of Modern Physics D, D7, 549-566 (1998).

  137. A. Ashtekar, A. Corichi and J.A. Zapata, Quantum Theory of Geometry: III. Noncommutativity of Riemannian Structures.

  138. A. Ashtekar, A. Corichi and M. Pierri, Geometry in Color Perception, In: Black Holes, Gravitational Radiation and the University, (Kluwer Dodrecht, 1999), p. 535-549, CGPG pre-print 97/12-7.

  139. A. Ashtekar and K. Krasnov, Quantum Geometry and Black Holes, In: Black Holes, Gravitational Radiation and the Universe, edited by B. Iyer and B. Bhawal (Kluwer Dodrecht, 1999), p. 149-170, gr-qc/9804039.

  140. A. Ashtekar, C. Beetle and S. Fairhurst, Isolated Horizons: A Generalization of Black Hole Mechanics, Classical and Quantum Gravity, 16, L1-L7 (1999), gr/qc 9812065.

  141. A. Ashtekar, Quantum Mechanics of Riemannian Geometry, in Pacific Conference on Gravitation and Cosmology, edited by S. Kim and J. Lee (1999).

  142. A. Ashtekar, Quantum Gravity, in Encyclopedia for Astronomy and Astrophysics (Institute of Physics, Bristol, 1999).

  143. A. Ashtekar, A. Corichi, K. Krasnov, Isolated Horizons: The Classical Phase Space, Advances in Theoretical and Mathematical Physics, 3, 418-471 (1999), gr-qc/9905089.

  144. A. Ashtekar, Quantum Mechanics of Geometry, in: The Universe: Visions and Perspectives, edited by N. Dadhich and A. Kembhavi (Kluwer, Dordrecht, 1999).

  145. A. Ashtekar, C. Beetle and S. Fairhurst, Mechanics of Isolated Horizons, Classical and Quantum Gravity, 17, 253-298 (2000), gr-qc/9907068.

  146. A. Ashtekar, Interface of General Relativity, Quantum Physics and Statistical Mechanics: Some Recent Developments, Annalen der Physik, 9, 178-198 (2000), gr-qc/9910101.

  147. A. Ashtekar and S. Das, Asymptotically Anti-de Sitter Space-times: Conserved Quantities, Classical and Quantum Gravity, 17, L17-L30 (2000), hep-th/9911230.

  148. A. Ashtekar and A. Corichi, Laws Governing Isolated Horizons: Inclusion of Dilaton Couplings, Classical and Quantum Gravity, 17, 1317-1332 (2000), gr-qc/9910068.

  149. A. Ashtekar, C. Beetle, O. Dreyer, S. Fairhurst, B. Krishnan, J. Lewandowski, and J. Wisniewski, Isolated Horizons and Their Applications, Physical Review Letters, 85, 3564-3567 (2000), gr-qc/0006006.

  150. A. Ashtekar, J. Baez and K. Krasnov, Quantum Geometry of Isolated Horizons and Black Hole Entropy, Advances in Theoretical and Mathematical Physics, 4, 1-95 (2000), gr-qc/0005126.
  151. A. Ashtekar, S. Fairhurst, and B. Krishnan, Laws Governing Isolated Horizons: Inclusion of Distortion, Physical Review D62, 104025 (2000), gr-qc/0005083.

  152. A. Ashtekar, D. Marolf, J. Mourão, T. Thiemann, Osterwalder-Schrader Reconstruction and Diffeomorphism Invariance, Classical and Quantum Gravity, 17, 4919-4940 (2000) quant-ph/9904094.

  153. A. Ashtekar, A. Corichi and D. Sudarsky, Hairy Black Holes, Horizon Mass and Solitons, Classical and Quantum Gravity, 18, 919-940 (2001), gr-qc/0011081.

  154. A. Ashtekar, Gravity, Geometry and the Quantum, in: Physics 2001: Problems for the 21st century, edited by M. Kumar (World Scientific, Singapore 2000).

  155. A. Ashtekar, C. Beetle, J. Lewandowski, Mechanics of Rotating Isolated Horizons, Physical Review D64 (2001) 044016, gr-qc/0103026.

  156. A. Ashtekar and J. Lewandowski, Relation Between Polymer and Fock Excitations, Classical and Quantum Gravity, 18, L117-L128 (2001), gr-qc/0107043.

  157. A. Ashtekar, C. Beetle and J. Lewandowski, Geometry of Generic Isolated Horizons, Classical and Quantum Gravity, 19, 1195-1225 (2002), gr-qc/0111067.

  158. A. Ashhtekar, O. Dreyer and J. Wisniewski, Isolated horizons in 2+1 gravity, Advances in Theoretical and Mathematical Physics, 6, 507-555 (2002); gr-qc/0206024.


  159. A. Ashtekar and B. Krishnan, Dynamical horizons: Energy, angular momentum, fluxes and balance laws, Physical Review Letters, 89, 261101 (2002); gr-qc/0207080.


  160. A. Ashtekar, Beyond Einstein: Gravity, geometry and the quantum, In: La Philosophie et de la nature aujourd'hui: Les apports des mathematique's, de las physique et de la Biologie, edited by J.-M. Alimi, L. Boi, J. Kouneiher and D. Lambert (Peter Lang, Paris 2003).


  161. A. Ashtekar, Quantum Geometry and Gravity: Recent Advances in: The Proceedings of the 16th International Conference on General Relativity and Gravitation, edited by N. Bishop, gr-qc/0110238.

  162. A. Ashtekar, The Second Black Body Problem: Interface of General Relativity, Quantum Theory and Statistical Mechanics, in Highlights of Mathematical Physics, edited by A. Fokas, J. Halliwel, T. Kibble and B. Zegarlinski (2002).

  163. A. Ashtekar, J. Lewandowski and H. Sahlmann, Polymer and Fock Representations for a Scalar Field, Classical and Quantum Gravity, 20, L11-21 (2003), gr-qc/0211012.

  164. A. Ashtekar, S. Fairhurst and J.L. Willis, Quantum Gravity, Shadow States and Quantum Mechanics, Classical and Quantum Gravity, 20, 1031-1062 (2003), gr-qc/0207106

  165. A. Ashtekar, Physical Issues of Quantum Gravity: Black Holes and Big Bang, In: Proceedings of the third International Sakharov Conference, Volume 2, edited by A. Semikhatov, M. Vassiliev and V. Zaikin, (Scientific World, Moscow), pages 682-699 (2003).

  166. A. Ashtekar, Quantum Geometry and its Ramifications, In: The Future of Theoretical Physics and Cosmology, A volume in honor of Stephen Hawking's 60th birthday, edited by G. Gibbons, Paul Shellard and Stuart Ranking (Cambridge University Press, 2003).

  167. A. Ashtekar, A. Corichi and D. Sudarsky, Non-minimally Coupled Scalar Fields and Isolated Horizons, Classical and Quantum Gravity, 20, 413-3426 (2003), gr-qc/0304044.

  168. A. Ashtekar, M. Bojowald and J. Lewandowski, Mathematical Structure of Loop Quantum Cosmology, Advances in Theoretical and Mathematical Physics, 7, 233-268 (2003), gr-qc/0304074.

  169. A. Ashtekar and A. Corichi, Non-minimal Couplings, Quantum Geometry and Black Hole Entropy, Classical and Quantum Gravity, 20, 4473-4484 (2003), gr-qc/0305082.

  170. A. Ashtekar, Quantum Geometry in Action: Big Bang and Black Holes, In: Graphs and Patterns in Mathematical and Theoretical Physics, Volume in honor or Dennis Sullivan (American Mathematical Society, 2003).

  171. A. Ashtekar and B. Krishnan, Dynamical Horizons and Their Properties, Physical Review D 68, 104030 (2003), gr-qc/0308033.

  172. A. Ashtekar, How Black Holes Grow, In: Mathematical Physics, General Relativity and Cosmology (World Scientific), in press, gr-qc/0306115.

  173. A. Ashtekar, Addressing Challenges of Quantum Gravity Through Quantum Geometry; Annales de Institut Henri Poincare, 4, S55-69 (2003).

  174. A. Ashtekar, Quantum Geometry in Action: Big Bang and Black Holes, In: Graphs and Patterns in Mathematical and Theoretical Physics, Volume in honor of Dennis Sullivan (American Mathematical Society, 2003).

  175. A. Ashtekar, J. Engle, T. Pawlowski and C. Van Den Broeck, Multipole moments of isolated horizons, Classical and Quantum Gravity, 21, 2549-2570 (2004).

  176. A. Ashtekar and J. Lewandowski, Background independent quantum gravity: A status report, Classical and Quantum Gravity, 21, R53-R152 (2004). [Review article commissioned by the British Institute of Physics]

  177. A. Ashtekar and B. Krishnan, Isolated and dynamical Horizons and their applications, Living Reviews in Relativity, no 10, 1-77 (2004). [invited review]

  178. A. Ashtekar, J. Engle and C. Van Den Broeck, Quantum horizons and black hole entropy: Inclusion of distortion and rotation, Classical and Quantum Gravity, 22, L27-L34 (2005), gr-qc/0412003.

  179. A. Ashtekar, Einstein's Dream: A Scientific and Political Vision for Uneasy Times, in Einstein -- Peace Now edited by R. Braun and D. Kreiger (based on an interview by E. Sierker) (Wiley, VCH Verlag, Weinheim 2005); [German Version: Einsteins Traeume - eine Wissenschaftliche und Politische Vision fuer Unsere Zukunft, In Albert Einstein, Frieden Heute - Visioen und Ideen, Herausgegeben von Reiner Braun & David Krieger (Melzer Verlag, Neu Isenburg, 2005).

  180. A. Ashtekar, L. Bombelli and A. Corichi, Semiclassical states for constrained systems, Physical Review D72, 025008 (2005).

  181. A. Ashtekar and M. Bojowald, Black hole evaporation: A new paradigm, Classical and Quantum Gravity, 22, 3349-3362 (2005).

  182. A. Ashtekar and G. Galloway, Some uniqueness results for dynamical horizons, Advances in Mathematical and Theoretical Physics, 9, 1-34 (2005).

  183. A. Ashtekar, Gravity and the quantum, New Journal of Physics, 7, 200-232 (2005).

  184. A. Ashtekar, The winding road to quantum gravity, Current Science, 89, 2064-2075 (2005). (Special Issue on Einstein's Legacy)

  185. A. Ashtekar, Quantum geometry and its ramification, In 100 Years of Relativity (Space-time Structure: Einstein and Beyond), World Scientific, Singapore (2005).

  186. A. Ashtekar and J. Lewandowski, Quantum geometry and its applications, Encyclopedia of Mathematical Physics, 230-236 (Elsevier, 2006).

  187. A. Ashtekar, Black Hole Mechanics, Encyclopedia of Mathematical Physics, 300-305, (Elsevier, 2006).

  188. A. Ashtekar and M. Bojowald, Quantum geometry and the Schwarzschild singularity, Classical and Quantum Gravity, 23, 391-411 (2006).

  189. A. Ashtekar, T. Pawlowski and P. Singh, Quantum nature of the Big Bang, Physical Review Letters, 96, 141301-141304 (2006).

  190. A. Ashtekar, T. Pawlowski and P. Singh, Quantum nature of the big-bang: An analytical and numerical investigation, Physical Review D73, 124038-124071 (2006).

  191. A. Ashtekar, Gravity, geometry and the quantum, In Proceedings of the Conference "Einstein's Century," edited by J. P. Alimi (AIP, New York, 2006).

  192. A. Ashtekar, T. Pawlowski and P. Singh, Quantum nature of the big bang: Improved dynamics, Physical Review D74, 084003-084026 (2006).

  193. A. Ashtekar, The issue of the beginning in quantum gravity, In Proceedings of the 7th International Conference on the history of general relativity, edited by C. Lehner et al, (Springer, Berlin, 2006).

  194. A. Ashtekar, Space and time: From antiquity to Einstein and beyond, Resonance 11, No. 9, 4-19 (2006).

  195. A. Ashtekar, Physics from geometry, Nature Physics 2, 726-727 (2006). [An invited News and Views article]

  196. A. Ashtekar, What did we learn from quantum gravity, In: Beyond the Quantum, edited by Th. M. Nieuwenhuizen, V. Spicka, B. Mehmani, M, Jafar-Aghdami and a. Yu Khrennikov (World Scientific, 2007)

  197. A. Ashtekar, Black Hole Dynamics in General Relativity, Parmama 69, 77-92 (2007)

  198. A. Ashtekar, T. Pawlowski and C. Van Den Broeck, Mechanics of Higher Dimensional Black Holes in Asymptotically anti-de Sitter Space Times, Classical and Quantum Gravity, 24, 625-644 (2007) gr-qc/0611049

  199. A. Ashtekar, T. Pawlowski, P. Singh and K. Vandersloot, Loop Quantum Cosmology of k=1 FRW Models, Physical Review D75, 024035-1-26 (2007) gr-qc/0612104

  200. A. Ashtekar, An Introduction to Loop Quantum Gravity Through Cosmology, Nuovo Cimeto 122, No 2, 1-20 (2007); gr-qc/0702030

  201. A. Ashtekar, Loop Quantum Gravity: Four Recent Advances and A Dozen Frequently Asked Questions, Proceedings of the 11th Marcel Grossmann Conference, edited by R. Jantzen and R. Ruffini. (World Scientific, Singapore, 2007); arXiv:0705.2222

  202. A. Ashtekar and M. Bojowald, Loop Quantum Cosmology I: Resolving the Big Bang Singularity from First Principles, In Beyond the Big Bang, edited by R. Vaas (Springer-Verlag, Berlin 2007)

  203. A. Ashtekar, A. Corichi and P. Singh, On the robustness of key features of loop quantum gravity, Physical Review D77, 024046 (2008), arXiv: 0710:3565

  204. A. Ashtekar, J. Engle and D. Sloan, Asymptotics and Hamiltonians in a first order formalism, Classical and Quantum Gravity, 25, 095020 (2008), arXiv:0802.2527

  205. A. Ashtekar, V. Taveras and M. Varadarajan, Information is not lost in the evaporation of 2-dimensional black holes, Physical Review Letters 100, 211302 (2008), arVix:0801.1811

  206. A. Ashtekar, E. Wilson Ewing, The covariant entropy bound and loop quantum cosmology, Physical Review D78, 064047 (2008), arXiv:0805.3511

  207. A. Ashtekar and D. Sloan, Action and Hamiltonians in higher dimensional general relativity, Classical and Quantum Gravity 25, 225025 (2008), arXiv:0808.0269

  208. A. Ashtekar, Gravity, Geometry and the Quantum, Proceedings of the Physics Diversity Summit and the 2008 Joint Annual Conference of the National Societies of black and Hispanic Physicists, American Institute of Physics Conference Proceedings, Volume 1140, 32-41 (2009)

  209. A. Ashtekar, Quantum Space-time: Beyond the continuum of Minkowski and Einstein, In: Minkowski space-time: A hundred years later, edited by V. Petkov (Springer-Verlag, Berlin, 2009), arXiv:0810,0514.

  210. A. Ashtekar, A. Henderson and D. Sloan, Hamiltonian general relativity and the Belinskii, Khalatnikov, Lifshitz conjecture, Classical and Quantum Gravity, 26, 052001 (2009). rXiv: 0811.4160

  211. A. Ashtekar, Loop quantum cosmology: An overview, General Relativity and Gravitation 41, 707-741 (2009), arXiv: 0812.0177.

  212. A. Ashtekar, Classical singularities and quantum space-times, In: The Proceedings of the `Beyond Einstein Conference’ edited by D. Rowe (Birkhauser, Boston, 2009).

  213. A. Ashtekar, Singularity resolution in loop quantum cosmology: A Brief Overview, Journal of Physics, Conference Series 189, 012003 (2009); arXiv:0812.4703.

  214. A. Ashtekar, The issue of the Beginning in quantum gravity, In: The proceedings of the Workshop on Geometry, Topology, QFT and Cosmology, edited by J. Kouneiher, (Hermann, Paris, 2009).

  215. A. Ashtekar, W. Kaminski and L. Lewandowski, Quantum field theory on a cosmological, quantum space-time, Physical Review D79, 064030 (2009), arXiv:0901.0933.

  216. A. Ashtekar and E. Wilson-Ewing, Loop quantum cosmology of Bianchi I models, Physical Review D79, 083535 (2009); arXiv:0903.3397.

  217. A. Ashtekar, Some surprising implications of background independence in canonical quantum gravity, General Relativity and Gravitation, 41, 1927-1943 (2009), arXiv:0904.0184.

  218. A. Ashtekar, M. Campiglia and A. Henderson, Loop quantum cosmology and spin foam models, Physics Letters B681, 347-352 (2009); arXiv:0909.4221.

  219. A. Ashtekar, E. Wilson-Ewing, Loop quantum cosmology of Bianchi II models, Physical Review D80, 123532 (2009); arXiv:0910.1078.

  220. A. Ashtekar and D. Sloan, Loop quantum cosmology and slow roll inflation, Physics Letters B694 2, 108-112 (2010); arXiv:0912.4093.

  221. A Ashtekar, The big bang and the quantum, AIP Conf. Proceedings 1241, 109-121 (2010); arXiv: 1005.5491.

  222. A. Ashtekar, M. Campiglia and A. Henderson, Casting loop quantum cosmology in the spin foam paradigm, Classical and quantum gravity, 27, 135020 (2010); arXiv: 1001.5147.

  223. A. Ashtekar, M. Campiglia and A. Henderson, Path integrals and the WKB approximation in loop quantum cosmology, Physical Review D 82, 124043 1-12 (2010); arXiv:1011.1024.

  224. A. Ashtekar, F. Pretorius and F. Ramazanoglu, Surprises in the evaporation of two dimensional black holes, Physical Review Letters 106, 161303 1-4 (2011); arXiv:1011.6442.

  225. A. Ashtekar, A. Henderson and D. Sloan, A Hamiltonian formulation of the BKL conjecture, Physical Review D83, 084024 1-15 (2011); arXiv:1103.2475.

  226. A. Ashtekar, F. Pretorius and F. Ramazanoglu, Evaporation of two dimensional black holes, Physical Review D83, 044040 1-18 (2011); arXiv:1012.0077.

  227. A. Ashtekar, S. Chandrasekhar's contributions to general relativity, Physics News, 41, 38-47 (2011); available at http://www.gravity.psu.edu/outreach/index.shtml.

  228. A. Ashtekar and D. Sloan, Probability of inflation in loop quantum cosmology, General Relativity and Gravitation, DOI 10.1007/s10714-011-1246-y (2011).

  229. A. Ashtekar and P. Singh, Loop quantum cosmology: A status report; Classical and Quantum Gravity 28, 213001, 1-123 (2011), arXiv:1108.0893.

  230. A. Ashtekar, Space and Time: The issue of the Beginning and the End, In: Le N\'eant dans la Pens\'ee Contemporaine}, edited by Norbert-Bertrand Barbe, (Bes Editions, Paris, 2011).


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