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Unlike the extremal Reissner - Nordstr\"{o}m black hole in ordinary spacetime, the one in anti-de Sitter spacetime is a minimum of action and has zero entropy if quantization is carried out after extremalization. However, if extremalization…

High Energy Physics - Theory · Physics 2009-10-31 P. Mitra

The entropy of extremal black holes (BHs) is obtained using a continuity argument from extremal quasiblack holes (QBHs). It is shown that there exists a smooth limiting transition in which (i) the system boundary approaches the extremal…

General Relativity and Quantum Cosmology · Physics 2011-05-25 José P. S. Lemos , Oleg B. Zaslavskii

Based on the generalized uncertainty principle, we study the entropy of a four-dimensional black hole by counting degrees of freedom near the horizon and obtain the (finite) entropy proportional to the surface area at the horizon without a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Myungseok Yoon , Jihye Ha , Wontae Kim

Taking the extremal limit of a non-extremal Reissner-Nordstr\"om black hole (by externally varying the mass or charge), the region between the inner and outer event horizons experiences an interesting fate -- while this region is absent in…

High Energy Physics - Theory · Physics 2009-12-04 Sean M. Carroll , Matthew C. Johnson , Lisa Randall

For extremal black holes, the thermodynamic entropy is not proportional to the area. The general form allowed by thermodynamics is worked out for three classes of extremal black hole solutions of string theory and shown to be consistent…

High Energy Physics - Theory · Physics 2008-02-03 A. Ghosh , P. Mitra

Based on the consideration that the black hole horizon and the cosmological horizon of Reissner-Nordstr\"om black hole in de Sitter space are not independent each other, we conjecture the total entropy of the system should have an extra…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Li-Chun Zhang , Ren Zhao , Meng-Sen Ma

We derive the Bekenstein-Hawking entropy formula for four-dimensional Reissner-Nordstrom extremal black holes in type II string theory. The derivation is performed in two separate (T-dual) weak coupling pictures. One uses a type IIB bound…

High Energy Physics - Theory · Physics 2009-07-09 Clifford V. Johnson , Ramzi R. Khuri , Robert C. Myers

Based on the entropy function formalism, we consider the extremal Kerr-(anti-)de Sitter black holes in 4-dimensions. Solving differential equations exactly, which are obtained by extremizing the entropy function, we find agreement of the…

High Energy Physics - Theory · Physics 2014-11-18 Jin-Ho Cho , Yumi Ko , Soonkeon Nam

We calculate the intrinsic entropy of a Schwarzschild black hole in an asymptotically antide Sitter space. The statistical calculation of the entropy is based on a model for particle structure that leads to confinement. The constituents of…

General Relativity and Quantum Cosmology · Physics 2019-07-15 Moorad Alexanian

The island rule for the entanglement entropy is applied to an eternal Reissner-Nordstr\"om black hole. The key ingredient is that the black hole is assumed to be in thermal equilibrium with a heat bath of an arbitrary temperature and so the…

High Energy Physics - Theory · Physics 2021-10-08 Wontae Kim , Mungon Nam

We reinterpret recent work on extremal Reissner- Nordstr\o m black holes to argue that the mass is a measure of the gravitational entropy. We also find that the entropy of scalar fields in this background has a stronger divergence than…

High Energy Physics - Theory · Physics 2009-10-28 Amit Ghosh , P. Mitra

We show that the entropy of extremal $D=4$ Reissner--Nordstrom black holes can be computed from horizon CFTs with central charges and conformal weights fixed by the dimensionless Rindler energy. This is possible in the simultaneous extremal…

High Energy Physics - Theory · Physics 2015-06-17 Edi Halyo

We present some arguments in support of a {\it zero} entropy for {\it extremal} black holes. These rely on a combination of both quantum, thermodynamic, and statistical physics arguments. This result may shed some light on the nature of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod

If two particles collide in the vicinity of a black hole horizon, their center of mass energy is practically unlimited, so another black hole with a large mass and thus entropy can be created. The resulting black hole can then merge with…

General Relativity and Quantum Cosmology · Physics 2025-03-05 De-Chang Dai

Entropy for two dimensional extremal black holes is computed explicitly in a finite-space formulation of the black hole thermodynamics and is shown to be zero {\it locally}. Our results are in conformity with the recent one by Hawking et al…

High Energy Physics - Theory · Physics 2009-10-28 Alok Kumar , Koushik Ray

The thermodynamic and euclidean functional integral approaches to black hole entropy are discussed. The existence of some freedom in the definition of the entropy is pointed out and the possibility of a departure from the semiclassical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. Mitra

Using the brick wall regularization of 't Hooft, the entropy of non-extreme and extreme black holes is investigated in a general static, spherically symmetric spacetime. We classify the singularity in the entropy by introducing a {\it new}…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Kenmoku , K. K. Nandi , K. Shigemoto

The entropy of the Reissner-N\"{o}rdstrom black hole is studied within the context of a brane-world scenario. Such a black hole is a solution of the Einstein field equations on the brane, possessing a tidal charge which is a reflection of…

General Relativity and Quantum Cosmology · Physics 2014-11-21 A. Sefiedgar , H. R. Sepangi

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity\cite{rst1}, using recently developed Noether charge techniques\cite{wald1}. This latter approach is extended to accomodate the non-local form of the…

High Energy Physics - Theory · Physics 2010-11-01 Robert C. Myers

The entropy of charged black hole is calculated by using the partition function evaluated at radial geodesics confined under horizons. We establish two quantum phase states inside the black hole and a transition between them.

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