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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

Black hole entropy is identified with the counting of the dynamical degrees of freedom of trapped gravitational modes continually sourced by the Hawking-Unruh process. In the context of linear perturbations of Schwarzschild spacetime the…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Seth Major , Daniel Rodriguez , Thomas Takis

It is shown that in the extreme limit with a zero surface gravity but nonzero local temperature the limiting metric of a generic static black hole is determined by a metric induced on a horizon and one function of two coordinates,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 O. B. Zaslavskii

The Planckon densely piled model of vacuum is proposed. Based on this model, the microscopic quantum structure of Schwarzschild black hole and quantum statistical origin of its gravity are studied. The cutoff of black hole horizon leads to…

General Physics · Physics 2014-10-29 Shun-Jin Wang

It is well known that a hypothetical compact object that looks like an Einsteinian (Schwarzschild or Kerr) black hole everywhere except a small region near its surface should have the ringdown profile predicted by the Einstein theory at…

General Relativity and Quantum Cosmology · Physics 2019-01-23 R. A. Konoplya , Z. Stuchlík , A. Zhidenko

We study a spherical gravitational collapse of a small mass in higher derivative and ghost free theories of gravity. By boosting a solution of linearized equations for a static point mass in such theories we obtain in the Penrose limit the…

High Energy Physics - Theory · Physics 2015-08-05 Valeri P. Frolov

In this work we explore the connections between Newman-Penrose scalars, including the Penrose-Rindler $\mathcal{K}$-curvature, with the equation of state of asymptotically Anti-de Sitter Reissner-Nordstr\"om black holes. After briefly…

General Relativity and Quantum Cosmology · Physics 2020-04-07 F. D. Villalba , P. Bargueno , A. F. Vargas , E. Contreras

Pulsars orbiting around the black hole at our galactic center provide us a unique testing site for gravity. In this work, we propose an approach to probe the gravity around the black hole introducing two phenomenological parameters which…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Kengo Iwata , Chul-Moon Yoo

Solution for a stationary spherically symmetric accretion of the relativistic perfect fluid with an equation of state $p(\rho)$ onto the Schwarzschild black hole is presented. This solution is a generalization of Michel solution and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 E. Babichev , V. Dokuchaev , Yu. Eroshenko

Energy extraction from a rotating or charged black hole is one of fascinating issues in general relativity. The collisional Penrose process is one of such extraction mechanisms and has been reconsidered intensively since Banados, Silk and…

General Relativity and Quantum Cosmology · Physics 2017-08-15 Ken-ichi Nakao , Hirotada Okawa , Kei-ichi Maeda

The Schwarzschild spacetime metric of negative mass is well-known to contain a naked singularity. In a spacelike slice, this singularity of the metric is characterized by the property that nearby surfaces have arbitrarily small area. We…

Differential Geometry · Mathematics 2013-09-11 Hubert L. Bray , Jeffrey L. Jauregui

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

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

It is shown that in the Schwarzschild background there exists direct counterpart of the Ba\~{n}ados-Silk-West effect for spinning particles. This means that if two particles collide near the black hole horizon, their energy in the centre of…

General Relativity and Quantum Cosmology · Physics 2016-06-22 O. B. Zaslavskii

Stationary black holes in 5-dimensional Einstein-Maxwell-Chern-Simons theory possess surprising properties. When considering the Chern-Simons coefficient $\lambda$ as a parameter, two critical values of $\lambda$ appear: the supergravity…

High Energy Physics - Theory · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida

For the Schwarzschild black hole the Bekenstein-Hawking entropy is proportional to the area of the event horizon. For the black holes with two horizons the thermodynamics is not very clear, since the role of the inner horizons is not well…

General Relativity and Quantum Cosmology · Physics 2021-07-26 G. E. Volovik

For asymptotically flat spacetimes the Penrose inequality gives an initial data test for the weak cosmic censorship hypothesis. We give a formulation of this inequality for asymptotically anti-deSitter (AAdS) spacetimes, and show that the…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Viqar Husain , Suprit Singh

We consider accretion of charged test matter by rotating, magnetic black holes and discuss a number of aspects in which the interaction of the angular momentum contained in the electromagnetic field and the spin of the hole plays a…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Conor Dyson , David Pereñiguez

We provide a fully analytical approach to calculate the nonlinearities of the gravitational waves in the ringdown of a Kerr black hole in the eikonal limit. The corresponding quasi-normal modes are associated to the orbits of a closed…

General Relativity and Quantum Cosmology · Physics 2025-07-03 D. Perrone , A. Kehagias , A. Riotto

The relation between entropy and the area of the event horizon of a quantum blackhole in four dimensions is derived. The Reissner-Nordstrom metric for a non-rotating, charged black hole is shown to be modified by the addition of a new…

High Energy Physics - Theory · Physics 2009-07-03 B. B. Deo , P. K. Jena
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