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In this paper we present an exact solution of Einstein's field equations describing the Schwarzschild black hole in dark energy background. It is also regarded as an embedded solution that the Schwarzschild black hole is embedded into the…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

We present a new solution in Einstein's theory of relativity, found through the use of the symmetries of the Ernst equations and in particular the Harrison and Ehlers transformations. The new metric represents a Reissner-Nordstr\"om black…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Matilde Illy

We discuss the Reissner-Nordstrom-de Sitter black holes in the context of dS/CFT correspondence by using static and planar coordinates. The boundary stress tensor and the mass of the solutions are computed. Also, we investigate how the RG…

High Energy Physics - Theory · Physics 2009-11-10 Dumitru Astefanesei , Robert Mann , Eugen Radu

We revisit the non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution obtained by smearing the point sources with a Gaussian distribution. We show that while the form of the metric function and the physical properties…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Gokhan Alkac , Murat Mesta , Gonul Unal

The space-time geometry exterior to a new four-dimensional, spherically symmetric and charged black hole solution that, through a coupling of general relativity with a non-linear electrodynamics, is everywhere non-singular, for small $r$ it…

General Relativity and Quantum Cosmology · Physics 2020-05-26 I. Radinschi , P. K. Sahoo , Th. Grammenos , S. Chattopadhyay , M. M. Cazacu

In this paper, thermodynamic properties of the Reissner-Nordstr\"om-de Sitter (RN-dS) black hole have been studied on the basis of the correlation between the black hole and cosmological horizons. It is found that the RN-dS black hole…

High Energy Physics - Theory · Physics 2023-02-01 Yang Zhang , Yu-bo Ma , Yun-Zhi Du , Huai-Fan Li , Li-Chun Zhang

After introducing the connection between the black hole horizon and the cosmological horizon, we discuss the thermodynamic properties of Reissner-Nordstrom-de Sitter (RN-dS) spacetime. We present the condition under which RN-dS black hole…

High Energy Physics - Theory · Physics 2014-04-11 Meng-Sen Ma , Hui-Hua Zhao , Li-Chun Zhang , Ren Zhao

Since the black hole and cosmological horizons in the de Sitter (dS) spacetime with the Reissner-Nordstrom (RN) black hole are not independent to each other, which is caused by the gravitational effect, the interplay between two horizons…

High Energy Physics - Theory · Physics 2022-10-19 Yun-Zhi Du , Huai-Fan Li , Ren Zhao

The multiyear problem of a two-body system consisting of a Reissner-Nordstr\"om black hole and a charged massive particle at rest is here solved by an exact perturbative solution of the full Einstein-Maxwell system of equations. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Bini , A. Geralico , R. Ruffini

Building on general formulas obtained from the approximate renormalized effective action, the stress-energy tensor of the quantized massive spinor and vector fields in the spacetime of the regular black hole is constructed. Such a black…

High Energy Physics - Theory · Physics 2008-02-28 Jerzy Matyjasek

We study large D effective theory for D dimensional charged (Anti) de Sitter black holes. Then we show that de Sitter Reissner-Nordstrom black hole becomes unstable against gravitational perturbations at larger charge than certain critical…

High Energy Physics - Theory · Physics 2016-05-25 Kentaro Tanabe

The Reissner-Nordstr\"om black hole solution in a generic cosmological constant background in the the context of Rastall gravity is obtained. It is shown that the cosmological constant arises naturally from the consistency of the non-vacuum…

General Relativity and Quantum Cosmology · Physics 2017-12-05 Y. Heydarzade , H. Moradpour , F. Darabi

In this work we study the trajectories of test particles in a geometry that is the nonlinear electromagnetic generalization of the Reissner-Nordstrom solution. The studied spacetime is a Einstein-Born-Infeld solution, nonsingular outside a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nora Breton

Building on general formulas obtained from the approximate renormalized effective action, the approximate stress-energy tensor of the quantized massive scalar field with arbitrary curvature coupling in the spacetime of charged black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Waldemar Berej , Jerzy Matyjasek

We find a new instability in the four-dimensional Reissner-Nordstrom-de Sitter black holes against charged scalar perturbations with vanishing angular momentum, $l=0$. We show that such an instability is caused by superradiance. The…

High Energy Physics - Theory · Physics 2015-06-19 Zhiying Zhu , Shao-Jun Zhang , C. E. Pellicer , Bin Wang , Elcio Abdalla

The {\bf k-}essence emergent Reissner-Nordstrom-de Sitter spacetime has exactly mapped on to the Robinson-Trautman (RT) type spacetime with cosmological constant $\L$ for certain configuration of {\bf k-}essence scalar field. Theoretically,…

General Relativity and Quantum Cosmology · Physics 2020-01-28 Goutam Manna , Bivash Majumder , Ashoke Das

In recent years there have appeared in the literature a large number of static, spherically symmetric metrics, which are regular at the origin, asymptotically flat, and have both an event and a Cauchy horizon for certain range of the…

General Relativity and Quantum Cosmology · Physics 2017-06-13 J. Ponce de Leon

The energy and momentum distributions in the dyadosphere of a Reissner-Nordstrom black hole are evaluated. The Moller's energy-momentum complex is employed for this computation. The spacetime under study is modified due to the effects of…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Elias C. Vagenas

With a prescribed Coulomb-type energy-momentum tensor, an exact solution of the Einstein field equations over a nonsimply-connected manifold is presented. This spherically symmetric solution has neither curvature singularities nor closed…

General Relativity and Quantum Cosmology · Physics 2015-06-15 F. R. Klinkhamer

We investigate the existence of Reissner-Nordstr\"om (RN) type black holes in f(R) gravity. Our emphasis is to derive, in the presence of electrostatic source, the necessary conditions which provide such static, spherically symmetric (SSS)…

General Relativity and Quantum Cosmology · Physics 2013-09-19 S. Habib Mazharimousavi , M. Kerachian , M. Halilsoy
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