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A common approach to evaluate entropy in quantum systems is to solve a master-Bloch equation to determine density matrix and substitute it in entropy definition. However, this method has been recently understood to lack many energy…

High Energy Physics - Theory · Physics 2016-05-17 Mohammad H Ansari

The brick-wall model seeks to explain the Bekenstein-Hawking entropy as a wall-contribution to the thermal energy of ambient quantum fields raised to the Hawking temperature. Reservations have been expressed concerning the self-consistency…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Shinji Mukohyama , Werner Israel

Based on an investigation into the near-horizon geometrical description of black hole spacetimes (the so-called "($r$,$t$) sector"), we find that the surface area of the event horizon of a black hole is mirrored in the area of a…

General Relativity and Quantum Cosmology · Physics 2020-04-30 Charles W. Robson , Marco Ornigotti

Without pretending to any rigour, we find a general expression of the electrostatic self-energy in static black holes with spherical symmetry. We determine the entropy bound of a charged object by assuming the existence of thermodynamics…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Linet

It was recently argued by Almheiri et al that black hole complementarity strains the basic rules of quantum information theory, such as monogamy of entanglement. Motivated by this argument, we develop a practical framework for describing…

High Energy Physics - Theory · Physics 2015-06-12 Erik Verlinde , Herman Verlinde

Ultraviolet regime in quantum theory with horizons, contrary to ordinary theory, depends on the temperature of the system due to additional surface divergences in the effective action. We evaluate their general one-loop structure paying…

High Energy Physics - Theory · Physics 2009-10-28 Dmitri Fursaev

Whereas the usual understanding is that the entropy of only a non-extremal black hole is given by the area of the horizon, there are derivations of an area law for extremal black holes in some model calculations. It is explained here how…

High Energy Physics - Theory · Physics 2009-10-30 A. Ghosh , P. Mitra

We give an exact solution for the static force between two black holes at the turning points in their binary motion. The results are derived by Gibbs' principle and the Bekenstein-Hawking entropy applied to the apparent horizon surfaces in…

High Energy Physics - Theory · Physics 2015-05-28 Maurice H. P. M. van Putten

We investigate whether the new horizon first law proposed recently still work in $f(R)$ theory. We identify the entropy and the energy of black hole as quantities proportional to the corresponding value of integration, supported by the fact…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Yaoguang Zheng , Rong-Jia Yang

When a black hole forms from collapse in a holographic theory, the information in the black hole interior remains encoded in the boundary. We prove that the area of the black hole's apparent horizon is precisely the entropy associated to…

High Energy Physics - Theory · Physics 2019-07-05 Netta Engelhardt , Aron C. Wall

We revisit the "brick wall" model for black hole entropy taking into account back-reaction effects on the horizon structure. We do so by adopting an evaporating metric in the quasi-static approximation in which departures from the standard…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Michele Arzano , Lennart Brocki , Jerzy Kowalski-Glikman , Marco Letizia , Josua Unger

In spherical symmetry, the total energy-momentum tensor near the apparent horizon is identified up to a single function of time from two assumptions: a trapped region forms at a finite time of a distant observer, and values of two curvature…

General Relativity and Quantum Cosmology · Physics 2019-12-12 Daniel Terno

An analog of black hole can be realized in the low-temperature laboratory. The horizon can be constructed for the `relativistic' ripplons (surface waves) living on the brane. The brane is represented by the interface between two superfluid…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. E. Volovik

Modes of physical fields which are located inside a horizon and which cannot be observed by a distant observer are identified with dynamical degrees of freedom of a black hole. A new invariant statistical mechanical definition of a…

General Relativity and Quantum Cosmology · Physics 2021-01-05 Valery Frolov , Igor Novikov

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

In this note we consider a stringy description of black hole horizon. We start with a nonlinear sigma model defined on a two dimensional Euclidean surface with background Rindler metric. By solving the field equations, we show that to the…

High Energy Physics - Theory · Physics 2009-10-28 Ichiro Oda

This is a review of my work published in the papers [1-4]. It offers a more detailed discussion of the results than what was given in the published papers and it links my results to some conclusions recently made by other people. It also…

General Relativity and Quantum Cosmology · Physics 2014-06-03 Jozef Skakala

We show generically that the dynamics of a probe particle near the event horizon of a non-extreme black hole is described by the tachyon effective action. The Hagedorn temperature in the action is always equal to the Hawking temperature of…

High Energy Physics - Theory · Physics 2024-09-25 Huiquan Li

In LQG, black hole horizons are described by 2+1 dimensional boundaries of a bulk 3+1 dimensional spacetime. The horizon is endowed with area by lines of gravitational flux which pierce the surface. As is well known, counting of the…

General Relativity and Quantum Cosmology · Physics 2012-08-17 Deepak Vaid

An accelerating observer sees a thermal bath of radiation at the Hawking temperature which is proportional to the acceleration. Also, in string theory there is a Hagedorn temperature beyond which one cannot go without an infinite amount of…

High Energy Physics - Theory · Physics 2011-07-19 Michael McGuigan