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We examine a possibility that, when a black hole is formed, the information on the collapsed star is stored as the entanglement entropy between the outside and the thin region (of the order of the Planck length) of the inside the horizon.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hiroaki Terashima

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

We present a coherent picture of the quantum mechanics of black holes. The picture does not require the introduction of any drastically new physical effect beyond what is already known; it arises mostly from synthesizing and…

High Energy Physics - Theory · Physics 2015-06-19 Yasunori Nomura , Sean J. Weinberg

It is a common belief now that the explanation of the microscopic origin of the Bekenstein-Hawking entropy of black holes should be available in quantum gravity theory, whatever this theory will finally look like. Calculations of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dmitri V. Fursaev

One of the challenges of today's theoretical physics is to fully understand the connection between a geometrical object like area and a thermostatistical one like entropy, since area behaves analogously like entropy. The Bekenstein bound…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Everton M. C. Abreu , Jorge Ananias Neto

Using a new regulator, we examine 't Hooft's approach for evaluating black hole entropy through a statistical-mechanical counting of states for a scalar field propagating outside the event horizon. We find that this calculation yields…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jean-Guy Demers , Rene Lafrance , Robert C. Myers

This brief conference proceeding attempts to explain the implications of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence for black hole entropy in a language accessible to relativists and other non-string theorists. The…

General Relativity and Quantum Cosmology · Physics 2009-04-17 Donald Marolf

Bekenstein and Mayo have revealed an interesting property of evaporating $(3+1)$-dimensional Schwarzschild black holes: their entropy emission rates $\dot S_{\text{Sch}}$ are related to their energy emission rates $P$ by the simple relation…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Shahar Hod

We focus on the entropy relations of black holes in three, four and higher dimensions. These entropy relations include entropy product, "part" entropy product and entropy sum. We also discuss their differences and similarities, in order to…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Xin-he Meng , Wei Xu , Jia Wang

We review the renormalization of one-loop effective action for gravity coupled to a scalar field and that of the Bekenstein-Hawking entropy of a black hole plus the statistical entropy of the scalar field. It is found that the total entropy…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

[Abridged] We compute the canonical entropy of a quantum scalar field around static and spherically symmetric black holes through the brick wall approach at the higher orders (in fact, up to the sixth order in \hbar) in the WKB…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sudipta Sarkar , S. Shankaranarayanan , L. Sriramkumar

Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Giovanni Acquaviva , George F. R. Ellis , Rituparno Goswami , Aymen I. M. Hamid

Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant…

General Relativity and Quantum Cosmology · Physics 2015-03-11 Giovanni Acquaviva , George F. R. Ellis , Rituparno Goswami , Aymen I. M. Hamid

Recent calculations have shown that the linear proportionality between black hole entropy and area can be explained by performing a density matrix calculation for a massless free field theory. By applying the same formalism to an empirical…

Condensed Matter · Physics 2014-10-13 David J. E. Callaway

Almost all of the entropy in the universe is in the form of Bekenstein--Hawking (BH) entropy of super-massive black holes. This entropy, if it satisfies Boltzmann's equation $S=\log{\cal N}$, hence represents almost all the accessible phase…

General Relativity and Quantum Cosmology · Physics 2021-05-18 Erik Aurell , Michał Eckstein , Paweł Horodecki

The quantum tunneling processes related to the black hole determine the black hole thermodynamics. The Hawking temperature is determined by the quantum tunneling processes of radiation of particles from the black hole. On the other hand,…

General Physics · Physics 2024-12-17 G. E. Volovik

The decay rate for a black hole to decay nonperturbatively via tunneling is shown to be related to the Bekenstein-Hawking black hole entropy $S_{bh}$. This new physical interpretation of the black hole entropy was presented first in 1988 in…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Pawel O. Mazur

Considerable interest has recently been expressed in the entropy versus area relationship for ``dirty'' black holes --- black holes in interaction with various classical matter fields, distorted by higher derivative gravity, or infested…

High Energy Physics - Theory · Physics 2009-10-22 Matt Visser

The Bekenstein-Hawking entropy of a black hole is proportional to its horizon area, hence in $D=2$ spacetime dimensions it is constant because the horizon degenerates into two points. This fact is consistent with Einstein's gravity becoming…

High Energy Physics - Theory · Physics 2023-07-26 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

We compute the entanglement entropy of a real massive scalar field near a non-rotating BTZ black hole using Thermo Field Dynamics. Modeling the black hole as a collapsing dust shell in AdS3, we derive the shell trajectory R(t) as seen by a…

General Relativity and Quantum Cosmology · Physics 2026-02-27 W. A. Rojas C. , J. R. Arenas S