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By a simple physical consideration and uncertain principle, we derive that temperature is proportional to the surface gravity and entropy is proportional to the surface area of the black hole. We apply the same consideration to de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tetsuya Hara , Keita Sakai , Daigo Kajiura

We consider the metric of a generic axially symmetric rotating stationary black hole. The general approach is developed that enables us to construct coordinate frame regular near the horizon. As explicit examples, the Kerr and…

General Relativity and Quantum Cosmology · Physics 2018-09-19 O. B. Zaslavskii

We work with the notion of apparent/trapping horizons for spherically symmetric, dynamical spacetimes: these are quasi-locally defined, simply based on the behaviour of congruence of light rays. We show that the sign of the dynamical…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alexis Helou

We extend the classic results of the paper P. C. W. Davies, S. A. Fulling, and W. G. Unruh "Energy-momentum tensor near an evaporating black hole" by considering a massive scalar field in a two dimensions in the presence of a thin shell…

High Energy Physics - Theory · Physics 2021-09-22 O. Diatlyk

We carry out the Kerr/CFT correspondence in a four-dimensional extremal rotating regular black hole with a non-linear magnetic monopole (NLMM). One problem in this study would be whether our geometry can be a solution or not. We search for…

High Energy Physics - Theory · Physics 2023-09-25 Shingo Takeuchi

The Hamilton-Jacobi equation for test particles in the Kerr geometry is separable. Using action-angle variables, we establish several relations between various physical quantities that characterize bound timelike geodesic orbits around a…

General Relativity and Quantum Cosmology · Physics 2014-04-21 Alexandre Le Tiec

Hawking radiation from the black hole in Horava-Lifshitz gravity is discussed by a reformulation of the tunneling method given in \cite{Banerjee:2008sn}. Using a density matrix technique the radiation spectrum is derived which is identical…

High Energy Physics - Theory · Physics 2010-03-18 Bibhas Ranjan Majhi

The radiation of vector particles by black holes in (1+2) dimensions is investigated within the WKB approximation. We consider the process of quantum tunnelling of bosons through an event horizon of the black hole. The emission temperature…

General Physics · Physics 2014-12-01 S. I. Kruglov

We hereby focus on the analytic geodesic extension of several regular rotating black holes (RRBHs) obtained throughout the Newman-Janis algorithm starting from some popular spherically symmetric regular black holes. It turns out that if the…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Tian Zhou , Leonardo Modesto

Usually alternative theories of gravity imply deviations from the well-known Kerr space-time, a model of an isolated black hole in General Relativity. In the dominant order, the deformed Kerr metric, free of closed time-like curves outside…

General Relativity and Quantum Cosmology · Physics 2013-02-06 R. A. Konoplya , A. Zhidenko

This paper employs Laurent series expansions and the Robson--Villari--Biancalana (RVB) method to provide a refined derivation of the Hawking temperature for two newly introduced topological black hole solutions. Previous calculations have…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Winston Chen , Yao-Guang Zheng

The Kerr metric is a vacuum solution of the Einstein equations outside of a rotating black hole, but what interior matter is actually rotating and sourcing the Kerr geometry? Here, we describe a rotating exotic matter which can source the…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Ram Brustein , A. J. M. Medved

A nontrivial peculiarity of general relativity is that when the horizon region of black holes is rendered harmless, the exterior doubles, resulting in a causally disconnected parallel universe. This intricacy plays a central role in 't…

High Energy Physics - Theory · Physics 2026-01-06 Abram Akal

We explicitly construct the metric of a Kerr black hole that is tidally perturbed by the external universe in the slow-motion approximation. This approximation assumes that the external universe changes slowly relative to the rotation rate…

General Relativity and Quantum Cosmology · Physics 2014-04-14 Nicolas Yunes , Jose Gonzalez

We compute the canonical (brick-wall) entropy of Hawking radiation in a in a quantum black hole model whose strong-field exterior is modeled phenomenologically, to first order in a small quadrupole parameter, by the static q-metric, which…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Shokoufe Faraji , Niayesh Afshordi

The $d$-dimensional scalar field action may be reduced, in the background geometry of a black hole, to a 2-dimensional effective action. In the near horizon region, it appears a gravitational anomaly: the energy-momentum tensor of the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 J. C. Fabris , G. T. Marques

The timelike geodesic equations resulting from the Kerr gravitational metric element are derived and solved exactly including the contribution from the cosmological constant. The geodesic equations are derived, by solving the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. V. Kraniotis

We study about an approximation method of the Hawking radiation. We analyze an massless scalar field in exotic black hole backgrounds models which have peculiar properties in black hole thermodynamics (monopole black hole in SO(3)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Takashi Tamaki , Kei-ichi Maeda

The exact metric of a moving Kerr black hole with an arbitrary constant velocity is derived in Kerr-Schild coordinates. We then calculate the null equatorial gravitational deflection caused by a radially moving Kerr source up to the second…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Weijun Li , Zhongwen Feng , Xia Zhou , Xueling Mu , Guansheng He

We consider excitations around the recently introduced near-NHEK metric describing the near-horizon geometry of the near-extremal four-dimensional Kerr black hole. This geometry has a U(1)_L x U(1)_R isometry group which can be enhanced to…

High Energy Physics - Theory · Physics 2015-03-17 Jorgen Rasmussen
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