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Abhay Ashtekar : Recent Publications


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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 Relativistic Physics, Festschrift in honor of John Stachel, Boston Studies in Phylosophy of Science, Volume 234, (Kluwer Academic, 2003).

RECENT SCIENTIFIC PAPERS: (1996 - 2006)
  1. 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).

  2. 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).

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

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

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

  6. 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.

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

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

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

  10. 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.

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

  12. 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.

  13. 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.

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

  15. 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).

  16. 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).

  17. 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.

  18. 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.

  19. 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.

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

  21. 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.

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

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

  24. 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.

  25. 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.

  26. 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.

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

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

  29. 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.

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

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

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

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

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

  35. 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.

  36. 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.
  37. A. Ashtekar, S. Fairhurst, and B. Krishnan, Laws Governing Isolated Horizons: Inclusion of Distortion, Physical Review D62, 104025 (2000), gr-qc/0005083.

  38. 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.

  39. 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.

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

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

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

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

  44. 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.

  45. 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).

  46. 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.

  47. 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.

  48. 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. Vasilliev, and V. Zaikin, (Scientific World, Mascow), pages 682-699 (2003).

  49. 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).

  50. 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.

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

  52. 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.

  53. 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).

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

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

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

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

  58. 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]

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

  60. 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.

  61. 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).

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

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

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

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

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

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

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

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

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

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

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

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

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

  75. 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).

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

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

  78. A. Ashtekar, Black Hole Dynamics in General Relativity, Parmama (in press)

  79. 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

  80. 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

  81. A. Ashtekar, An Introduction to Loop Quantum Gravity Through Cosmology, Nuovo Cimeto (at press) gr-qc/0702030

  82. 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, to appear) arXiv:0705.2222

  83. 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, to appear)


See Complete Publications List Here



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