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Loop Quantum Gravity is a theory that attempts to describe the quantum mechanics of the gravitational field based on the canonical quantization of General Relativity. According to Loop Quantum Gravity, in a gravitational field, geometric…

General Relativity and Quantum Cosmology · Physics 2021-12-16 W. F. Chagas-Filho

This is a review of the results on black hole physics in the framework of loop quantum gravity. The key feature underlying the results is the discreteness of geometric quantities at the Planck scale predicted by this approach to quantum…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Alejandro Perez

We analyze the relationship between entanglement (or geometric) entropy with statistical mechanical entropy of horizon degrees of freedom when described in the framework of isolated horizons in loop quantum gravity. We show that, once the…

General Relativity and Quantum Cosmology · Physics 2014-10-15 Alejandro Perez

General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems. For a long time there have been indications that quantum gravity will…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald

The formalism of the horizon quantum mechanics is applied to electrically neutral and spherically symmetric black hole geometries emerging from coherent quantum states of gravity to compute the probability that the matter source is inside…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Wenbin Feng , Andrea Giusti , Roberto Casadio

Quantum black holes have been studied extensively in quantum gravity and string theory, using various semiclassical or background dependent approaches. We explore the possibility of studying black holes in the full non-perturbative quantum…

General Relativity and Quantum Cosmology · Physics 2010-02-22 Kirill Krasnov , Carlo Rovelli

An equidistant spectrum of the horizon area of a quantized black hole does not follow from the correspondence principle or from general statistical arguments. Such a spectrum obtained earlier in loop quantum gravity (LQG) does not comply…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. B. Khriplovich

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories as well,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Carlip

Inspired by the recent conjecture that black holes are condensates of gravitons, we investigate a simple model for the black hole degrees of freedom that is consistent both from the point of view of Quantum mechanics and of General…

General Relativity and Quantum Cosmology · Physics 2013-10-24 Roberto Casadio , Alessio Orlandi

We propose a quantum description of black holes. The degrees of freedom to be quantized are identified with the microscopic degrees of freedom of the horizon, and their dynamics is governed by the action of the relatistic bosonic membrane…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Maggiore

The Horizon Quantum Mechanics is an approach that allows one to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. We first review the (global) formalism…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

In the context of loop quantum gravity, we construct the phase-space of isolated horizons with genus greater than 0. Within the loop quantum gravity framework, these horizons are described by genus g surfaces with N punctures and the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Kloster , J. Brannlund , A. DeBenedictis

Isolated horizons are a quasi-local framework, developed over the last 15 years by many authors, for modeling black holes `in equilibrium' that involves assumptions only about geometric structures intrinsic to the horizon. We review the…

General Relativity and Quantum Cosmology · Physics 2013-02-05 Jonathan Engle , Tomas Liko

Are there any degrees of freedom on the black hole horizon? Using the `membrane paradigm' we can reproduce coarse-grained physics outside the hole by assuming a fictitious membrane just outside the horizon. But to solve the information…

High Energy Physics - Theory · Physics 2011-01-25 Samir D. Mathur

A detailed analysis of the spherically symmetric isolated horizon system is performed in terms of the connection formulation of general relativity. The system is shown to admit a manifestly SU(2) invariant formulation where the (effective)…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Jonathan Engle , Karim Noui , Alejandro Perez , Daniele Pranzetti

Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting non-rotating isolated horizons as inner…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Ashtekar , J. Baez , K. Krasnov

We study the extent of quantum gravitational effects in the internal region of non-singular, Hayward-like solutions of Einstein's field equations according to the formalism known as Horizon Quantum Mechanics. We grant a microscopic…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Andrea Giugno , Andrea Giusti , Alexis Helou

We study scattering on the black hole horizon in a partial wave basis, with an impact parameter of the order of the Schwarzschild radius or less. This resembles the strong gravity regime where quantum gravitational effects appear. The…

High Energy Physics - Theory · Physics 2022-01-11 Nava Gaddam , Nico Groenenboom , Gerard 't Hooft

We consider the fundamental issues which dominate the question about the existence or non-existence of black hole horizons and singularities from both of the theoretical and observational points of view, and discuss some of the ways that…

General Relativity and Quantum Cosmology · Physics 2011-12-01 C. Corda , D. Leiter , H. J. Mosquera Cuesta , S. Robertson , R. E. Schild

A genuine notion of black holes can only be obtained in the fundamental framework of quantum gravity resolving the curvature singularities and giving an account of the statistical mechanical, microscopic degrees of freedom able to explain…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Christian Röken