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We call a state "vacuum-bounded" if every measurement performed outside a specified interior region gives the same result as in the vacuum. We compute the maximum entropy of a vacuum-bounded state with a given energy for a one-dimensional…

高能物理 - 理论 · 物理学 2009-10-30 Ken D. Olum

The standard approach of counting the number of eigenmodes of $N$ scalar fields near the horizon is used as a basis to provide a simple statistical mechanical derivation of the black hole entropy in two and four dimensions. The Bekenstein…

高能物理 - 理论 · 物理学 2009-10-28 J. G. Russo

Considering corrections to all orders in the Planck length on the quantum state density from a generalized uncertainty principle (GUP), we calculate the statistical entropy of the scalar field on the background of the Schwarzschild black…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yong-Wan Kim , Young-Jai Park

The quantum correction to the entanglement entropy of the event horizon is plagued by the UV divergence due to the infinitely blue-shifted near horizon modes. The resolution of this UV divergence provides an excellent window to a better…

高能物理 - 理论 · 物理学 2009-11-10 Darwin Chang , Chong-Sun Chu , Feng-Li Lin

Following our previous work on hybrid quantum states in the RST model, we study its most interesting solution representing a completely regular spacetime with the structure of causal diamond, containing an apparent horizon and radiation at…

高能物理 - 理论 · 物理学 2024-11-15 Yohan Potaux , Debajyoti Sarkar , Sergey N. Solodukhin

This paper investigates whether the framework of fractional quantum mechanics can broaden our perspective of black hole thermodynamics. Concretely, we employ a {\it space-fractional} derivative \cite{Rie} as our main tool. Moreover, we…

广义相对论与量子宇宙学 · 物理学 2021-07-27 S. Jalalzadeh , F. Rodrigues da Silva , P. V. Moniz

The Bekenstein-Hawking formula relates the black hole entropy and horizon area. Semiclassical entropy computations have relied on an action principle that fixes a gauge dependent and classically unobservable boundary three-geometry and…

高能物理 - 理论 · 物理学 2018-11-28 Thomas C. Bachlechner

We study the possibility that black hole entropy be identified as entropy of entanglement across the horizon of the vacuum of a quantum field in the presence of the black hole. We argue that a recent proposal for computing entanglement…

高能物理 - 理论 · 物理学 2009-11-11 Roberto Emparan

Near the horizon, the obvious symmetries of a black hole spacetime---the horizon-preserving diffeomorphisms---are enhanced to a larger symmetry group with a BMS${}_3$ algebra. Using dimensional reduction and covariant phase space…

广义相对论与量子宇宙学 · 物理学 2018-03-14 S. Carlip

The simplest possible equation for Hawking radiation, and other black hole radiated power is derived in terms of black hole density. Black hole density also leads to the simplest possible model of a gas of elementary constituents confined…

综合物理 · 物理学 2007-05-23 Mario Rabinowitz

This paper investigates the normal modes of a probe scalar field in a five-dimensional AdS-Schwarzschild black hole with the brick wall boundary condition near the horizon. We employ various techniques to compute the spectrum and analyze…

高能物理 - 理论 · 物理学 2025-02-06 Suman Das , Somnath Porey , Baishali Roy

There is a general scaling argument that shows that the entropy of a small black hole, representing a half-BPS excitation of an elementary heterotic string in any dimension, agrees with the statistical entropy up to an overall numerical…

高能物理 - 理论 · 物理学 2009-11-11 Ashoke Sen

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…

凝聚态物理 · 物理学 2014-10-13 David J. E. Callaway

We consider the entropy of a black hole which has zero area horizon. The microstates appear as monopole solutions of the effective theory on the corresponding brane configurations.The resulting entropy formula coincides with the one…

高能物理 - 理论 · 物理学 2009-10-31 Takao Suyama

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…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Jean-Guy Demers , Rene Lafrance , Robert C. Myers

The string-black hole correspondence is considered in the context of the correspondence principle proposed recently by Horowitz and Polchinski. We demonstrate that the entropy of string states and the entropy of a Schwarzschild black hole…

高能物理 - 理论 · 物理学 2009-10-30 Sergey N. Solodukhin

Based on the consideration that the black hole horizon and the cosmological horizon of Kerr-de Sitter black hole are not independent each other, we conjecture the total entropy of the system should have an extra term contributed from the…

广义相对论与量子宇宙学 · 物理学 2018-03-26 Huai-Fan Li , Meng-Sen Ma , Li-Chun Zhang , Ren Zhao

For a thermodynamic system, apart from thermal fluctuations, there are also fluctuations in thermodynamic volume when the system is in contact with a volume reservoir. For the case of black holes in anti-de Sitter spacetimes, the effect of…

高能物理 - 理论 · 物理学 2022-10-13 Aritra Ghosh , Sudipta Mukherji , Chandrasekhar Bhamidipati

In this paper, we formulate black hole solutions through extended gravitational decoupling scheme in the framework of self-interacting Brans-Dicke theory. The addition of a new source in the matter distribution increases the degrees of…

广义相对论与量子宇宙学 · 物理学 2021-04-14 M. Sharif , Amal Majid

We discuss and compare different definitions of the entropy of a black hole. In particular we show that the thermodynamical entropy defined by the response of the free energy of a black hole to the change of temperature does not coincide…

高能物理 - 理论 · 物理学 2008-02-03 V. Frolov