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R. Cuttell and M. Sakellariadou, “The general gravitational Lagrangian with deformed covariance,” arXiv:1901.07383
Original
1901
Earlier work this paper cites.
N. Bodendorfer, F. M. Mele, and J. Münch, “A note on the Hamiltonian as a polymerisation parameter,” Class. Quant. Grav. 36
Original
1902
Earlier work this paper cites.
M. Bouhmadi-López, S. Brahma, C.-Y. Chen, P. Chen, and D.-h. Yeom, “Comment on ”Quantum Transfiguration of Kruskal Black Holes”,” arXiv:1902.07874
Original
1902
Earlier work this paper cites.
N. Bodendorfer, F. M. Mele, and J. Münch, “Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole,” Class. Quant. Grav. 36
Original
1902
Earlier work this paper cites.
E. Alesci, S. Bahrami, and D. Pranzetti, “Quantum gravity predictions for black hole interior geometry,” Phys. Lett. B797
Original
1904
Earlier work this paper cites.
M. Bojowald, “Comment (2) on ”Quantum Transfiguration of Kruskal Black Holes”,” arXiv:1906.04650
Original
1906
Earlier work this paper cites.
M. Assanioussi, A. Dapor and K. Liegener, “Perspectives on the dynamics in loop effective black hole interior,” arXiv:1908.05756
Original
1908
Earlier work this paper cites.
M. Bojowald, S. Brahma, D. Ding, and M. Ronco, “Deformed covariance in spherically symmetric vacuum models of loop quantum gravity: Consistency in Euclidean and self-dual gravity,” arXiv:1910.10091
Original
1910
Earlier work this paper cites.
PhD thesis, King’s Coll. London, 2019
Original
R. Cuttell, Deformed General Relativity · 1910
Earlier work this paper cites.
A. Simpson and M. Visser, “Regular black holes with asymptotically Minkowski cores,” arXiv:1911.01020
Original
1911
Earlier work this paper cites.
N. Bodendorfer, F. M. Mele, and J. Münch, “(b,v)-type variables for black to white hole transitions in effective loop quantum gravity,” arXiv:1911.12646
Original
1911
Earlier work this paper cites.
N. Bodendorfer, F. M. Mele and J. Münch, “Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition,” arXiv:1912.00774
Original
1912
Earlier work this paper cites.
T. Thiemann, “On the solution of the initial value constraints for general relativity coupled to matter in terms of Ashtekar’s variables,” Class. Quant. Grav. 10
1921
Earlier work this paper cites.
S. A. Hojman, K. Kuchar, and C. Teitelboim, “Geometrodynamics Regained,” Annals Phys. 96
1976
Earlier work this paper cites.
H. Kodama, “Conserved Energy Flux for the Spherically Symmetric System and the Back Reaction Problem in the Black Hole Evaporation,” Prog. Theor. Phys. 63
1980
Earlier work this paper cites.
T. Thiemann and H. A. Kastrup, “Canonical quantization of spherically symmetric gravity in Ashtekar’s selfdual representation,” Nucl. Phys. B399
1993
Earlier work this paper cites.
K. V. Kuchar, “Geometrodynamics of Schwarzschild black holes,” Phys. Rev. D50
1994
Earlier work this paper cites.
J. Gegenberg, G. Kunstatter and D. Louis-Martinez, “Observables for two-dimensional black holes,” Phys. Rev. D 51
1995
Earlier work this paper cites.
M. Bojowald, “Spherically symmetric quantum geometry: States and basic operators,” Class. Quant. Grav. 21
2004
Earlier work this paper cites.
M. Bojowald and R. Swiderski, “The Volume operator in spherically symmetric quantum geometry,” Class. Quant. Grav. 21
2004
Earlier work this paper cites.
A. Ashtekar and M. Bojowald, “Black hole evaporation: A Paradigm,” Class. Quant. Grav. 22
2005
Earlier work this paper cites.
M. Bojowald, R. Goswami, R. Maartens, and P. Singh, “A Black hole mass threshold from non-singular quantum gravitational collapse,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
M. Bojowald and R. Swiderski, “Spherically symmetric quantum geometry: Hamiltonian constraint,” Class. Quant. Grav. 23
2006
Earlier work this paper cites.
A. Ashtekar and M. Bojowald, “Quantum geometry and the Schwarzschild singularity,” Class. Quant. Grav. 23
2006
Earlier work this paper cites.
C. G. Boehmer and K. Vandersloot, “Loop Quantum Dynamics of the Schwarzschild Interior,” Phys. Rev. D76
Original
2007
Earlier work this paper cites.
D. Grumiller and R. McNees, “Thermodynamics of black holes in two (and higher) dimensions,” JHEP 0704
2007
Earlier work this paper cites.
L. Modesto, “Black hole interior from loop quantum gravity,” Adv. High Energy Phys. 2008
2008
Earlier work this paper cites.
C. G. Boehmer and K. Vandersloot, “Stability of the Schwarzschild Interior in Loop Quantum Gravity,” Phys. Rev. D78
Original
2008
Earlier work this paper cites.
M. Bojowald, T. Harada, and R. Tibrewala, “Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity,” Phys. Rev. D78
Original
2008
Earlier work this paper cites.
L. Modesto and I. Premont-Schwarz, “Self-dual Black Holes in LQG: Theory and Phenomenology,” Phys. Rev. D80
Original
2009
Earlier work this paper cites.

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2019

Deformed General Relativity and Quantum Black Holes Interior

Arruga, Denis, Achour, Jibril Ben, Noui, Karim

Understand

Effective models of black holes interior have led to several proposals for regular black holes.

In the so-called polymer models, based on effective deformations of the phase space of spherically symmetric general relativity in vacuum, one considers a deformed Hamiltonian constraint while keeping a non-deformed vectorial constraint.
In this article, we revisit and study further the question of covariance in these deformed gravity models.
In particular, we propose a Lagrangian formulation for these deformed gravity models where polymer-like deformations are introduced at the level of the full theory prior to the symmetry reduction and prior to the Legendre transformation.