Lectures on Non-Perturbative Canonical Gravity

Ashtekar, Abhay·1991·Advanced Series in Astrophysics and Cosmology

Cited by (872)

Items 301–400 of 872

  1. Quantum geometry in action: Big bang and black holes
    Abhay Ashtekar · 2005 · Proceedings of symposia in pure mathematics
  2. Quantum field theory of geometry
    Abhay Ashtekar, Jerzy Lewandowski · 1999 · Cambridge University Press eBooks
  3. Tetrads in SU(N) Yang–Mills geometrodynamics
    Alcides Garat · 2019 · International Journal of Modern Physics A
  4. Loop quantum cosmology with self-dual variables
    Edward Wilson-Ewing · 2015 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  5. Spinors: A Mathematica package for doing spinor calculus in General Relativity
    Alfonso Gómez-Lobo, José M. Martín-García · 2012 · Computer Physics Communications
  6. Quantum corrections to a finite temperature BIon
    Behnam Pourhassan, Sanjib Dey, Sumeet Chougule, Mir Faizal · 2020 · Classical and Quantum Gravity
  7. Covariant phase space formulation of parametrized field theories
    Charles G Torre · 1992 · Journal of Mathematical Physics
  8. Photon inner product and the Gauss-linking number
    Abhay Ashtekar, Alejandro Corichi · 1997 · Classical and Quantum Gravity
  9. The de Broglie–Bohm Quantum Theory and Its Application to Quantum Cosmology
    Nelson Pinto-Neto · 2021 · Universe
  10. The weak field limit of quantum matter back-reacting on classical spacetime
    Isaac Layton, Jonathan Oppenheim, Andrea Russo, Zachary Weller-Davies · 2023 · Journal of High Energy Physics
  11. Hamiltonian renormalization III. Renormalisation flow of 1 + 1 dimensional free scalar fields: properties
    Thorsten Lang, Klaus Liegener, Thomas Thiemann · 2018 · Classical and Quantum Gravity
  12. Radon transform of the Wheeler-De Witt equation and tomography of quantum states of the universe
    Vladimir I. Man’ko, G. Marmo, C. Stornaiolo · 2005 · General Relativity and Gravitation
  13. Adler-Bell-Jackiw anomaly, the Nieh-Yan form, and vacuum polarization
    Chopin Soo · 1999 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  14. Analysis of the Wheeler-DeWitt equation beyond planck scale and dimensional reduction
    TSUTOMU HORIGUCHI, Kayoko Maeda, Makoto Sakamoto · 1995 · Physics Letters B
  15. Learning about Quantum Gravity with a Couple of Nodes
    Enrique F. Borja · 2012 · Symmetry Integrability and Geometry Methods and Applications
  16. Time asymmetric spacetimes near null and spatial infinity: I. Expansions of developments of conformally flat data
    Juan A. Valiente Kroon · 2004 · Classical and Quantum Gravity
  17. Adjusted ADM systems and their expected stability properties: constraint propagation analysis in Schwarzschild spacetime
    Hisa-aki Shinkai, Gen Yoneda · 2002 · Classical and Quantum Gravity
  18. Quantum corrections to the thermodynamics of black branes
    Behnam Pourhassan, Mir Faizal · 2021 · Journal of High Energy Physics
  19. Comments on microcausality, chaos, and gravitational observables
    Donald M. Marolf · 2015 · eScholarship (California Digital Library)
  20. Transition to zero cosmological constant and phantom dark energy as solutions involving change of orientation of spacetime manifold
    Eduardo I. Guendelman, Alexander B. Kaganovich · 2008 · Classical and Quantum Gravity
  21. Killing spinor initial data sets
    Alfonso Gómez-Lobo, Juan A. Valiente Kroon · 2008 · Journal of Geometry and Physics
  22. Chaos, decoherence and quantum cosmology
    Esteban Calzetta · 2012 · Classical and Quantum Gravity
  23. Trick for passing degenerate points in the Ashtekar formulation
    Gen Yoneda, Hisa-aki Shinkai, Akika Nakamichi · 1997 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  24. REVISED CANONICAL QUANTUM GRAVITY VIA THE FRAME FIXING
    Simone Mercuri, Giovanni Montani · 2004 · International Journal of Modern Physics D
  25. Nonuniform measure in four-dimensional simplicial quantum gravity
    Bernd Brügmann · 1993 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  26. Generalizing the Kodama State II: Properties and Physical Interpretation
    Andrew Randono · 2006 · arXiv (Cornell University)
  27. Quantization of Diffeomorphism Invariant Theories of Connections with a Non-Compact Structure Group—an Example
    Andrzej Okołów · 2009 · Communications in Mathematical Physics
  28. Canonical Quantum Gravity
    Karel V. Kuchaˇr · 1994 · Lecture notes in physics. M, Monographs
  29. Observables for spacetimes with two Killing field symmetries
    Viqar Husain · 1994 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  30. Feynman diagrammatic approach to spinfoams
    Marcin Kisielowski, Jerzy Lewandowski, Jacek Puchta · 2011 · Classical and Quantum Gravity
  31. Discrete gravity as a topological field theory with light-like curvature defects
    Wolfgang Wieland · 2017 · Journal of High Energy Physics
  32. Towards the self-adjointness of a Hamiltonian operator in loop quantum gravity
    Cong Zhang, Jerzy Lewandowski, Yongge Ma · 2018 · Physical review. D/Physical review. D.
  33. Hamiltonian renormalisation II. Renormalisation flow of 1+1 dimensional free scalar fields: derivation
    Thorsten Lang, Klaus Liegener, Thomas Thiemann · 2018 · Classical and Quantum Gravity
  34. Chern–Simons solutions of the chiral teleparallelism constraints of gravity
    Eckehard W. Mielke · 2002 · Nuclear Physics B
  35. Gravity and BF theory defined in bounded regions
    Husain, V, Major, S A · 1997 · CERN Document Server (European Organization for Nuclear Research)
  36. ON THE STRUCTURE OF THE SPACE OF GENERALIZED CONNECTIONS
    José M. Velhinho · 2004 · International Journal of Geometric Methods in Modern Physics
  37. Self duality and quantization
    Abhay Ashtekar, Carlo Rovelli C, Lee Smolin · 1992 · Journal of Geometry and Physics
  38. Time evolution of observable properties of reparametrization-invariant systems
    Petr Hájíček · 1997 · Nuclear Physics B - Proceedings Supplements
  39. Poisson realization and quantization of the Geroch group
    Dmitrii Aleksandrovich Korotkin, Henning Samtleben · 1997 · Classical and Quantum Gravity
  40. New variables, the gravitational action, and boosted quasilocal stress-energy-momentum
    Lau, S R · 1995 · CERN Document Server (European Organization for Nuclear Research)
  41. Black hole entropy: Quantum versus thermal fluctuations
    Ashok Chatterjee, Parthasarathi Majumdar · 2003 · arXiv (Cornell University)
  42. The Friedmann-Lemaître-Robertson-Walker Big Bang Singularities are Well Behaved
    Ovidiu Cristinel Stoica · 2015 · International Journal of Theoretical Physics
  43. Overview and outlook
    Abhay Ashtekar · 2008 · Springer eBooks
  44. Quantization of field theories generalizing gravity-yang-mills systems on the cylinder
    Schaller, P, Thomas Strobl · 1994 · CERN Document Server (European Organization for Nuclear Research)
  45. Quantum thermodynamics of an M2-M5 brane system
    Behnam Pourhassan, Houcine Aounallah, Mir Faizal, Sudhaker Upadhyay, Saheb Soroushfar, Yermek O. Aitenov, Salman Sajad Wani · 2022 · Journal of High Energy Physics
  46. Chiral supergravity and anomalies
    Eckehard W. Mielke, Alfredo Macı́as · 1999 · Annalen der Physik
  47. Manifestly Lorentz-covariant variables for the phase space of general relativity
    Merced Montesinos, Jorge Romero, Mariano Celada · 2018 · Physical review. D/Physical review. D.
  48. Hamiltonian Dynamics for Einstein’s Action in G→0 Limit
    Alberto Escalante · 2009 · International Journal of Theoretical Physics
  49. Chern-Simons term for BF theory and gravity as a generalized topological field theory in four dimensions
    Han-Ying Guo, Yi Ling, Roh-Suan Tung, Yuan‐Zhong Zhang · 2002 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  50. Generalized Lagrangian of N=1 supergravity and its canonical constraints with the real Ashtekar variable
    Motomu Tsuda · 1999 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  51. Apparent horizons, black hole entropy, and loop quantum gravity
    Viqar Husain · 1999 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  52. Chiral Anomaly in Contorted Spacetimes
    Eckehard W. Mielke, Dirk Kreimer · 1999 · General Relativity and Gravitation
  53. The classical theory of canonical general relativity
    Robert Beig · 2008 · Springer eBooks
  54. Particle decays and space-time kinematics in (2+1) gravity
    Roberto Franzosi, E. Guadagnini · 1995 · Nuclear Physics B
  55. Unitary equivalence of the metric and holonomy formulations of (2+1)-dimensional quantum gravity on the torus
    Arlen Anderson · 1993 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  56. Quantum Gravity
    Claus Kiefer · 2025
  57. Quantum thermodynamics of the charged AdS black hole with nonlinear electrodynamics field
    R. H. Ali, Behnam Pourhassan, Ghulam Mustafa · 2024 · Chinese Journal of Physics
  58. Bouncing Quantum Cosmology
    Nelson Pinto-Neto · 2021 · Universe
  59. Vacuum Einstein equations in terms of curvature forms
    Yuri N. Obukhov, S. I. Tertychniy · 1996 · Classical and Quantum Gravity
  60. General Relativity without paradigm of space-time covariance, and resolution of the problem of time
    Chopin Soo, H. L. Yu · 2014 · Progress of Theoretical and Experimental Physics
  61. Bare vs. Effective Fixed Point Action in Asymptotic Safety: The Reconstruction Problem
    Martin Reuter, Elisa Manrique · 2011
  62. Nonperturbative canonical quantization of minisuperspace models: Bianchi types I and II
    N. Manojlović, Guillermo Antonio Mena Marugán · 1993 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  63. Some observations on degenerate metrics
    Ingemar Bengtsson · 1993 · General Relativity and Gravitation
  64. Physical states of Bianchi type IX quantum cosmologies described by the Chern-Simons functional
    Robert Graham, Robert Paternoga · 1996 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  65. Nonperturbative solutions for canonical quantum gravity: An overview
    Kiyoshi Ezawa · 1996
  66. GR as a classical spin-2 theory?
    Niels Linnemann, Chris Smeenk, Mark Robert Baker · 2023 · Philosophy of Science
  67. Two-spinors, oscillator algebras, and qubits: aspects of manifestly covariant approach to relativistic quantum information
    Marek Czachor · 2010 · Quantum Information Processing
  68. The gravitational Hamiltonian, first order action, Poincaré charges and surface terms
    Alejandro Corichi, Juan D Reyes · 2015 · Classical and Quantum Gravity
  69. Emergent Braided Matter of Quantum Geometry
    Sundance Bilson-Thompson · 2012 · Symmetry Integrability and Geometry Methods and Applications
  70. Effects of CPT and Lorentz invariance violation on pulsar kicks
    Gaetano Lambiase · 2005 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  71. Canonical analysis of n -dimensional Palatini action without second-class constraints
    Merced Montesinos, Ricardo Escobedo, Jorge Romero, Mariano Celada · 2020 · Physical review. D/Physical review. D.
  72. Unified formalism for Palatini gravity
    Capriotti, Santiago · 2017 · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)
  73. Topology and classical geometry in (2 + 1) gravity
    Franzosi, R, Guadagnini, E · 1996 · Classical and Quantum Gravity
  74. Canonical general relativity on a null surface with coordinate and gauge fixing
    Joshua N. Goldberg, C. Soteriou · 1995 · CERN Document Server (European Organization for Nuclear Research)
  75. On the Constant that Fixes the Area Spectrum in Canonical Quantum Gravity
    Kirill V. Krasnov · 1998
  76. Projective loop quantum gravity. I. State space
    Suzanne Lanéry, Thomas Thiemann · 2016 · Journal of Mathematical Physics
  77. Conformal Methods in General Relativity
    Juan A. Valiente Kroon · 2022 · Cambridge University Press eBooks
  78. Anisotropic loop quantum cosmology with self-dual variables
    Edward Wilson-Ewing · 2016 · Physical review. D/Physical review. D.
  79. Canonical analysis of Holst action without second-class constraints
    Merced Montesinos, Jorge Romero, Mariano Celada · 2020 · Physical review. D/Physical review. D.
  80. Spinor-valued forms and a variational principle for Einstein's vacuum equations
    David Robinson · 1996 · Classical and Quantum Gravity
  81. A Newman-Penrose formalism for gravitational instantons
    E. Goldblatt · 1994 · General Relativity and Gravitation
  82. A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data
    Juan Antonio Valiente Kroon · 2010 · Communications in Mathematical Physics
  83. Chiral Anomaly in Contorted Spacetimes
    Eckehard W. Mielke, Dirk Kreimer · 1997
  84. Is the exponential of the Chern-Simons action a normalizable physical state?
    Guillermo Antonio Mena Marugán · 1995 · Classical and Quantum Gravity
  85. Diffeomorphism invariant subspaces in Witten's 2 + 1 quantum gravity on
    Domenico Giulini, Jorma Louko · 1995 · Classical and Quantum Gravity
  86. GRAVITY AND YANG-MILLS THEORY: TWO FACES OF THE SAME THEORY?
    Subenoy Chakraborty, Peter Peldán · 1994 · International Journal of Modern Physics D
  87. Triad representation of the Chern-Simons state in quantum gravity
    Robert Paternoga, Robert Graham · 2000 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  88. Canonical quantization of general relativity: The Last 18 years in a nutshell
    Jorge A. Pullin · 2003 · Civil War Book Review
  89. (2 + 1)-dimensional Einstein-Kepler problem in the centre-of-mass frame
    Jorma Louko, Hans-Jürgen Matschull · 2000 · Classical and Quantum Gravity
  90. Bianchi Cosmological Models and Gauge Symmetries
    Olivier Coussaert, Marc Henneaux A, Chercheur Irsia · 1993
  91. Quasilocal Energy for Spin-net Gravity
    Seth Major · 2000
  92. Super-Minisuperspace and New Variables
    Riccardo Capovilla, Jemal Guven, Centro de Investigación, Estudios Avanzados, Autónoma México · 1994
  93. Concise symplectic formulation for tetrad gravity
    J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, Eduardo J. S. Villaseñor · 2021 · Physical review. D/Physical review. D.
  94. Hamiltonian analysis of $n$-dimensional Palatini gravity with matter
    Han, M, Ma, Y, You Ding, Qin, L · 2005 · CERN Document Server (European Organization for Nuclear Research)
  95. Quantum thermodynamics of a quantum sized AdS black hole
    Behnam Pourhassan, Mahdi Atashi, Houcine Aounallah, Salman Sajad Wani, Mir Faizal, Barun Majumder · 2022 · Nuclear Physics B
  96. Mach-Einstein doctrine and general relativity
    H.‐H. von Borzeszkowski, H.‐J. Treder · 1996 · Foundations of Physics
  97. Hamiltonian dynamics and gauge symmetry for three-dimensional Palatini theory with cosmological constant
    Alberto Escalante, Omar Rodríguez-Tzompantzi · 2014 · Journal of High Energy Physics
  98. Ashtekar variables in classical general relativity
    Domenico Giulini · 2008 · Springer eBooks
  99. Diffeomorphism invariant cosmological sector in loop quantum gravity
    Christopher Beetle, Jonathan Engle, M E Hogan, Phillip Mendonça · 2017 · Classical and Quantum Gravity
  100. Ghost equations and diffeomorphism-invariant theories
    Olivier Piguet · 2000 · Classical and Quantum Gravity