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We discuss entropy bounds for a class of two-dimensional gravity models. While the Bekenstein bound can be proved to hold in general for weakly gravitating matter, the analogous of the holographic bound is not universal, but depends on the…

High Energy Physics - Theory · Physics 2009-11-10 S. Mignemi

Recently it has been proposed that the Bekenstein-Hawking formula for the entropy of spacetime horizons has a larger significance as the leading contribution to the entanglement entropy of general spacetime regions, in the underlying…

High Energy Physics - Theory · Physics 2014-08-27 Jason Wien

The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which…

High Energy Physics - Theory · Physics 2015-06-26 Jacob D. Bekenstein

In 1984, 't Hooft famously used a brickwall (aka stretched horizon) to compute black hole entropy up to a numerical pre-factor. This calculation is sometimes interpreted as due to the entanglement of the modes across the horizon, but more…

High Energy Physics - Theory · Physics 2023-12-22 Chethan Krishnan , Pradipta S. Pathak

Isolated horizons model equilibrium states of classical black holes. A detailed quantization, starting from a classical phase space restricted to spherically symmetric horizons, exists in the literature and has since been extended to…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Christopher Beetle , Jonathan Engle

The existence of black hole horizon is considered as a boundary condition to be imposed on the fluctuating metrics. The coordinate invariant form of the condition for class of spherically symmetric metrics is formulated. The diffeomorphisms…

High Energy Physics - Theory · Physics 2009-10-31 Sergey N. Solodukhin

We perform the Hamiltonian reduction of three dimensional Einstein gravity with negative cosmological constant under constraints imposed by near horizon boundary conditions. The theory reduces to a Floreanini-Jackiw type scalar field theory…

High Energy Physics - Theory · Physics 2020-01-29 Daniel Grumiller , Wout Merbis

In this paper, we develop a method to extract the Bekenstein-Hawking entropy of $D$-dimensional black holes using the entanglement entropy of a lower-dimensional conformal field theory (CFT). This approach relies on two key observations. On…

High Energy Physics - Theory · Physics 2026-03-05 Shuxuan Ying

In this short essay we review the arguments showing that black hole entropy is, at least in part, ``entanglement entropy", i.e., missing information contained in correlations between quantum field fluctuations inside and outside the event…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ted Jacobson

This paper presents the first numerical study of black hole thermodynamics in Causal Set Theory, focusing on the entropy of a Schwarzschild black hole as embodied in the distribution of proposed horizon molecules. To simulate causal sets we…

General Relativity and Quantum Cosmology · Physics 2024-05-02 Vid Homšak , Stefano Veroni

A semi-classical reasoning leads to the non-commutativity of space and time coordinates near the horizon of static non-extreme black hole, and renders the classical horizon spreading to {\it Quantum Horizon} . In terms of the background…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mu-Lin Yan , Hua Bai

Interior volume within the horizon of a black hole is a non-trivial concept which turns out to be very important to explain several issues in the context of quantum nature of black hole. Here we show that the entropy, contained by the {\it…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Bibhas Ranjan Majhi , Saurav Samanta

New geometric and analytic methods for generating exact and parametric solutions in generalized Einstein-Finsler like gravity theories and nonholonomic Ricci soliton models are reviewed and developed. We show how generalizations of the…

General Physics · Physics 2019-03-12 Laurenţiu Bubuianu , Sergiu I. Vacaru

By a simple modification of Hawking's well-known topology theorems for black hole horizons, we find lower bounds for the areas of smooth apparent horizons and smooth cross-sections of stationary black hole event horizons of genus $g>1$ in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Woolgar

Using the quasi-normal modes frequency of extremal Reissner-Nordstr\"om black holes, we obtain area spectrum for these type of black holes. We show that the area and entropy black hole horizon are equally spaced. Our results for the spacing…

High Energy Physics - Theory · Physics 2009-11-10 M. R. Setare

We develop a method for computing the free-energy of a canonical ensemble of quantum fields near the horizon of a rotating black hole. We show that the density of energy levels of a quantum field on a stationary background can be related to…

General Relativity and Quantum Cosmology · Physics 2010-11-19 V. Frolov , D. Fursaev

We aim to establish the holographic principle as a universal law, rather than a property only of static systems and special space-times. Our covariant formalism yields an upper bound on entropy which applies to both open and closed…

High Energy Physics - Theory · Physics 2011-04-15 Raphael Bousso

Recently we showed that in semiclassical 2D dilaton gravity the regularity of a black hole horizon may be compatible with divergencies of Polyakov-Liouville stresses on it, the temperature deviating from its Hawking value. This makes the…

High Energy Physics - Theory · Physics 2009-11-07 O. B. Zaslavskii

The entropy spectrum of a spherically symmetric black hole was derived via the Bohr-Sommerfeld quantization rule in Majhi and Vagenas's work. Extending this work to charged and rotating black holes, we quantize the horizon area and the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Deyou Chen , Haitang Yang

Einstein equations projected on black-hole horizons give rise to the equations of motion of a viscous fluid. This suggests a way to understand the microscopic degrees of freedom on the black-hole horizon by focusing on the physics of this…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Swastik Bhattacharya , S. Shankaranarayanan
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