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Starting from recent observations\cite{hod,dreyer1} about quasi-normal modes, we use semi-classical arguments to derive the Bekenstein-Hawking entropy spectrum for $d$-dimensional spherically symmetric black holes. We find that the entropy…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Gabor Kunstatter

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

We discuss some general properties of black hole entropy in loop quantum gravity from the perspective of local stationary observers at distance l from the horizon. The present status of the theory indicates that black hole entropy differs…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Amit Ghosh , Alejandro Perez

Equilibrium states of black holes can be modelled by isolated horizons. If the intrinsic geometry is spherical, they are called type I while if it is axi-symmetric, they are called type II. The detailed theory of geometry of quantum type I…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jonathan Engle

We consider a spherical symmetric black hole in the Schwarzschild metric and apply Bohr-Sommerfeld quantization to determine the energy levels. The canonical partition function is then computed and we show that the entropy coincides with…

High Energy Physics - Theory · Physics 2010-11-19 Marco Frasca

Hawking radiation from a black hole can be viewed as quantum tunneling of particles through the event horizon. Using this approach we provide a general framework for studying corrections to the entropy of black holes beyond semiclassical…

General Relativity and Quantum Cosmology · Physics 2015-05-18 M. Akbar , K. Saifullah

We estimate the canonical entropy of a quantum black hole by counting its quasi-normal modes. We first show that the partition function of a classical black hole, evaluated by counting the quasi-normal modes with a thermodyanmic Boltzmann…

High Energy Physics - Theory · Physics 2023-05-03 Naritaka Oshita , Niayesh Afshordi

In some respects the black hole plays the same role in gravitation that the atom played in the nascent quantum mechanics. This analogy suggests that black hole mass $M$ might have a discrete spectrum. I review the physical arguments for the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

This letter aims at showing that the observation of evaporating black holes should allow distinguishing between the usual Hawking behavior and Loop Quantum Gravity (LQG) expectations. We present a full Monte-Carlo simulation of the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Aurelien Barrau , Xiangyu Cao , Jacobo Diaz-Polo , Julien Grain , Thomas Cailleteau

In loop quantum gravity the quantum states of a black hole horizon are produced by point-like discrete quantum geometry excitations (or {\em punctures}) labelled by spin $j$. The excitations possibly carry other internal degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Amit Ghosh , Karim Noui , Alejandro Perez

We introduce, in a systematic way, a set of generating functions that solve all the different combinatorial problems that crop up in the study of black hole entropy in Loop Quantum Gravity. Specifically we give generating functions for: The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Fernando Barbero G. , Eduardo J. S. Villaseñor

Equilibrium states of black holes can be modelled by isolated horizons. If the intrinsic geometry is spherical, they are called type I while if it is axi-symmetric, they are called type II. The detailed theory of geometry of \emph{quantum}…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Abhay Ashtekar , Jonathan Engle , Chris Van Den Broeck

Black-hole spectroscopy aims to infer the fundamental properties of black holes by analysing the spectrum of gravitational waves emitted as they settle into equilibrium. These resonances, known as quasinormal modes (QNMs), decay rapidly,…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Pietro Smaniotto , Leonardo Solidoro , Patrik Švančara , Sam Patrick , Maurício Richartz , Carlo F. Barenghi , Ruth Gregory , Silke Weinfurtner

This survey intends to cover recent approaches to black hole entropy which attempt to go beyond the standard semiclassical perspective. Quantum corrections to the semiclassical Bekenstein-Hawking area law for black hole entropy, obtained…

High Energy Physics - Theory · Physics 2009-10-31 Parthasarathi Majumdar

The quantum corrections to the entropy of charged black holes are calculated. The Reissner-Nordstrem and dilaton black holes are considered. The appearance of logarithmically divergent terms not proportional to the horizon area is…

High Energy Physics - Theory · Physics 2011-05-05 S. N. Solodukhin

We address the issue of modelling quantum gravity effects in the evaporation of higher dimensional black holes in order to go beyond the usual semi-classical approximation. After reviewing the existing six families of quantum gravity…

High Energy Physics - Phenomenology · Physics 2015-05-30 Piero Nicolini , Elizabeth Winstanley

The Bekenstein-Hawking (BH) entropy is expected to be modified by certain correction terms in the quantum loop expansion. As is well known the logarithmic terms in the entropy of black holes appear as a one-loop addition to the classical BH…

High Energy Physics - Theory · Physics 2020-01-29 Sergey N. Solodukhin

We argue that a unitary description of the formation and evaporation of a black hole implies that the Bekenstein-Hawking entropy is the "entropy of a vacuum": the logarithm of the number of possible independent ways in which quantum field…

High Energy Physics - Theory · Physics 2014-11-11 Yasunori Nomura , Sean J. Weinberg

Under quite natural general assumptions, the following results are obtained. The maximum entropy of a quantized surface is demonstrated to be proportional to the surface area in the classical limit. The general structure of the horizon…

General Relativity and Quantum Cosmology · Physics 2008-11-26 I. B. Khriplovich

We investigate a compelling model of a rotating black hole that is deformed by the effects of loop quantum gravity (LQG). We present a simplified metric and explore two distinct geometries: one in which the masses of the black hole and…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Jafar Khodagholizadeh , Ghadir Jafari , Alireza Allahyari , Ali Vahedi
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