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In a remarkable numerical analysis of the spectrum of states for a spherically symmetric black hole in loop quantum gravity, Corichi, Diaz-Polo and Fernandez-Borja found that the entropy of the black hole horizon increases in what resembles…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hanno Sahlmann

Getting the mathematical rules for quantised black holes correctly is far from straightforward. Many earlier treatises got it not quite correctly. The general relativistic transformation linking the distant observer (who only detects…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Gerard t Hooft

It is known that the semiclassical approximation to the gravity path integral can be leveraged to explain certain inherently quantum aspects of gravity. One such aspect is the state-counting interpretation of the Bekenstein-Hawking entropy…

High Energy Physics - Theory · Physics 2026-04-15 Juan Hernandez , Mikhail Khramtsov

We give a short introduction to the approaches currently used to describe black holes in loop quantum gravity. We will concentrate on the classical issues related to the modeling of black holes as isolated horizons, give a short discussion…

General Relativity and Quantum Cosmology · Physics 2021-03-19 J. Fernando Barbero G. , Jerzy Lewandowski , Eduardo J. S. Villaseñor

Bound states of BPS particles in five-dimensional N=2 supergravity are counted by a topological index. We compute this bound state index exactly for two and three black holes as a function of the SU(2)_L angular momentum. The required…

High Energy Physics - Theory · Physics 2009-11-07 Ruth Britto-Pacumio , Alexander Maloney , Mark Stern , Andrew Strominger

We study the state-counting problem that arises in the SU(2) black hole entropy calculation in loop quantum gravity. More precisely, we compute the leading term and the logarithmic correction of both the spherically symmetric and the…

General Relativity and Quantum Cosmology · Physics 2012-08-15 Jonathan Engle , Karim Noui , Alejandro Perez , Daniele Pranzetti

Symmetric states are defined in the kinematical sector of loop quantum gravity and applied to spherical symmetry and homogeneity. Consequences for the physics of black holes and cosmology are discussed.

General Relativity and Quantum Cosmology · Physics 2017-08-23 M. Bojowald , H. A. Kastrup

Black hole entropy is derived from a sum over boundary states. The boundary states are labeled by energy and momentum surface densities, and parametrized by the boundary metric. The sum over state labels is expressed as a functional…

General Relativity and Quantum Cosmology · Physics 2009-10-30 David Brown

The issue of a possible damping of the entropy periodicity for large black holes in Loop Quantum Gravity is highly debated. Using a combinatorics/analysis approach, we give strong arguments in favor of this damping, at least for…

General Relativity and Quantum Cosmology · Physics 2011-11-09 Xiangyu Cao , Aurelien Barrau

In this note we carry out the counting of states for a black hole in loop quantum gravity, however assuming an equidistant area spectrum. We find that this toy-model is exactly solvable, and we show that its behavior is very similar to that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hanno Sahlmann

We discuss some issues related to the computation of black hole entropy in loop quantum gravity from the novel point of view provided by the recent number-theoretical methods introduced by the authors and their collaborators. In particular…

General Relativity and Quantum Cosmology · Physics 2010-05-19 J. Fernando Barbero G. , Eduardo J. S. Villaseñor

We define the analytic continuation of the number of black hole microstates in Loop Quantum Gravity to complex values of the Barbero-Immirzi parameter $\gamma$. This construction deeply relies on the link between black holes and…

General Relativity and Quantum Cosmology · Physics 2014-06-24 Jibril Ben Achour , Amaury Mouchet , Karim Noui

We give an account of the state of the art about black hole entropy in Loop Quantum Gravity. This chapter contains a historical summary and explains how black hole entropy is described by relying on the concept of isolated horizon, with an…

General Relativity and Quantum Cosmology · Physics 2022-12-29 J. Fernando Barbero G. , Daniele Pranzetti

We study $\mathcal{N}=4$ SYM at non-integer number of colours. By varying $N$ we can continuously follow states all the way from $N=\infty$ where integrability reigns to finite $N$ where quantum gravity effects dominate. As an application…

High Energy Physics - Theory · Physics 2023-09-15 Kasia Budzik , Harish Murali , Pedro Vieira

Understanding how to prepare and count black hole micro-states by using the gravitational path integral is one of the most important problems in quantum gravity. Nevertheless, a state-by-state count of black hole microstates is difficult…

High Energy Physics - Theory · Physics 2024-07-08 Jan Boruch , Luca V. Iliesiu , Cynthia Yan

The Bekenstein-Hawking entropy of certain black holes can be computed microscopically in string theory by mapping the elusive problem of counting microstates of a strongly gravitating black hole to the tractable problem of counting…

High Energy Physics - Theory · Physics 2014-11-18 Frederik Denef , Gregory W. Moore

We study the Hilbert space of a system of $n$ black holes with an inner product induced by replica wormholes. This takes the form of a sum over permutations, which we interpret in terms of a gauge symmetry. The resulting inner product is…

High Energy Physics - Theory · Physics 2023-11-13 Henry Maxfield

The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Shupeng Song , Haida Li , Yongge Ma , Cong Zhang

A previously used quantization mechanism is applied to the continuous states of the shielded strong gravity scenario (hep-th/0602183), yielding two types of spectra for uncharged black hole scalars. Each yields the general morphology for…

High Energy Physics - Theory · Physics 2007-05-23 D. G. Coyne , D. C. Cheng

In this Letter, we study black hole area quantization in the context of gravitational wave physics. It was recently argued that black hole area quantization could be a mechanism to produce so-called echoes as well as characteristic…

General Relativity and Quantum Cosmology · Physics 2019-10-29 Andrew Coates , Sebastian H. Völkel , Kostas D. Kokkotas