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We clarify the relation between gravitational entropy and the area of horizons. We first show that the entropy of an extreme Reissner-Nordstr\"om black hole is $zero$, despite the fact that its horizon has nonzero area. Next, we consider…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. W. Hawking , Gary T. Horowitz , Simon F. Ross

The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated…

High Energy Physics - Theory · Physics 2010-10-27 G. L. Cardoso , B. de Wit , S. Mahapatra

It has been shown by explicit and exact calculation that the geometric product formula i.e. horizon area (or entropy) product formula of outer horizon (${\cal H}^{+}$) and inner horizon (${\cal H}^{-}$) for charged accelerating black hole…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Parthapratim Pradhan

In two-derivative theories of gravity coupled to matter, charged black holes are self-attractive at large distances, with the force vanishing at zero temperature. However, in the presence of massless scalar fields and four-derivative…

High Energy Physics - Theory · Physics 2022-03-23 Sera Cremonini , Callum R. T. Jones , James T. Liu , Brian McPeak , Yuezhang Tang

I review various proposals for the nature of black hole entropy and for the mechanism behind the operation of the generalized second law. I stress the merits of entanglement entropy {\tenit qua\/} black hole entropy, and point out that,…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Jacob D. Bekenstein

The charged BTZ black hole is characterized by a power-law curvature singularity generated by the electric charge of the hole. The curvature singularity produces ln r terms in the asymptotic expansion of the gravitational field and…

High Energy Physics - Theory · Physics 2008-11-26 M. Cadoni , M. Melis , M. R. Setare

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

Supersymmetric black holes in five-dimensional gauged supergravity must necessarily be rotating, and so in order to study the passage to black holes away from supersymmetry, it is of great interest to obtain non-extremal black holes that…

High Energy Physics - Theory · Physics 2008-11-26 Z. W. Chong , M. Cvetic , H. Lu , C. N. Pope

We study extremal static dyonic black holes in four-dimensional Einstein-Maxwell-Dilaton theory, for general values of the constant $a$ in the exponential coupling $e^{a\phi}$ of the dilaton to the Maxwell kinetic term. Explicit solutions…

High Energy Physics - Theory · Physics 2019-09-04 Wei-Jian Geng , Blake Giant , H. Lu , C. N. Pope

We calculate the entropy of a static extremal black hole in 4D gravity, non-linearly coupled to a massive Stueckelberg scalar. We find that the scalar field does not allow the black hole to be magnetically charged. We also show that the…

High Energy Physics - Theory · Physics 2018-02-21 Alessio Marrani , Olivera Miskovic , Paula Quezada Leon

For BPS black holes with at least four unbroken supercharges, we describe how the macroscopic entropy can be used to compute an appropriate index, which can be then compared with the same index computed in the microscopic description. We…

High Energy Physics - Theory · Physics 2011-04-20 Atish Dabholkar , Joao Gomes , Sameer Murthy , Ashoke Sen

We propose a novel method to constrain the electric charge of the supermassive black hole M87* by analyzing the orbital angular momentum content of the light it emits. By leveraging the established analogy between rotating spacetimes and…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Fabiano Feleppa , Fabrizio Tamburini , Gaetano Lambiase

We develop a general framework for electromagnetic potential-charge contributions to the first law of black hole mechanics, applicable to dynamical first-order perturbations of stationary black objects with possibly non-compact bifurcate…

High Energy Physics - Theory · Physics 2026-03-30 Manus R. Visser , Zihan Yan

For extremal charged black holes, the thermodynamic entropy is proportional not to the area but to the mass or charges. This is demonstrated here for dyonic extremal black hole solutions of string theory. It is pointed out that these…

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

We calculate the Noether currents and charges for Einstein-Maxwell theory using a version of the Wald approach. In spherical symmetry, the choice of time can be taken as the Kodama vector. For the static case, the resulting combined…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Michael C. Ashworth Sean A. Hayward

Recent work has shown that the entropy of the non-rotating BTZ black hole can be derived from a dual conformal description at any spatial location. In this followup it is shown that a dual conformal description exists at any spatial…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Joseph Mitchell

We study general black-hole solutions of the low-energy string effective action in arbitrary dimensions using a general metric that can describe them all in a unified way both in the extreme and non-extreme cases. We calculate the mass,…

High Energy Physics - Theory · Physics 2014-11-18 Tomas Ortin

We compute the four-derivative corrections to the geometry, extremality bound, and thermodynamic quantities of AdS-Reissner-Nordstr{\"o}m black holes for general dimensions and horizon geometries. We confirm the universal relationship…

High Energy Physics - Theory · Physics 2020-05-27 Sera Cremonini , Callum R. T. Jones , James T. Liu , Brian McPeak

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

We construct a proof of the second law of thermodynamics in an arbitrary diffeomorphism invariant theory of gravity working within the approximation of linearized dynamical fluctuations around stationary black holes. We achieve this by…

High Energy Physics - Theory · Physics 2021-10-05 Sayantani Bhattacharyya , Prateksh Dhivakar , Anirban Dinda , Nilay Kundu , Milan Patra , Shuvayu Roy