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Recently, Cardoso et al. constructed an exact solution of Einstein's equations that describes a supermassive black hole immersed into a dark matter halo. In this work use a solution-generating technique, which is a direct generalization of…

General Relativity and Quantum Cosmology · Physics 2024-05-14 Cristian Stelea , Marina-Aura Dariescu , Ciprian Dariescu

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the…

High Energy Physics - Theory · Physics 2010-05-19 Yu Tian , Xiaoning Wu

We study dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of thispaper is to establish uniform energy bounds and local energy decay for such backgrounds.

Analysis of PDEs · Mathematics 2008-11-03 Daniel Tataru , Mihai Tohaneanu

Long ago, Newman and Janis showed that a complex deformation $z\rightarrow z+i a$ of the Schwarzschild solution produces the Kerr solution. The underlying explanation for this relationship has remained obscure. The complex deformation has…

High Energy Physics - Theory · Physics 2020-01-29 Nima Arkani-Hamed , Yu-tin Huang , Donal O'Connell

The first regular exact black hole solution in General Relativity is presented. The source is a nonlinear electrodynamic field satisfying the weak energy condition, which in the limit of weak field becomes the Maxwell field. The solution…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Eloy Ayón-Beato , Alberto García

We calculate the gravitational energy spectrum of the perturbations of a Schwarzschild black hole described by quasinormal modes, in the framework of the teleparallel equivalent of general relativity (TEGR). We obtain a general formula for…

General Relativity and Quantum Cosmology · Physics 2021-04-19 J. W. Maluf , S. C. Ulhoa , F. L. Carneiro , K. H. C. Castello-Branco

There exists in literature an increasing interest in the study of mass distributions surrounding black holes as describing dark matter halo in spiral galaxies. Motivated by this interest, we study a very recent new class of rotating…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Stefano Viaggiu

Virbhadra and Parikh studied the energy distribution associated with stringy charged black hole in Einstein's prescription. We study the same using Tolman's energy-momentum complex and get the same result as obtained by Virbhadra and…

General Relativity and Quantum Cosmology · Physics 2014-11-17 S. S. Xulu

We study the generalization of the mass function of classes of regular spherically symmetric black holes solutions of in $ 4D $ coming from the coupling of General Relativity with Non-linear Electrodynamics, through the requirement of the…

General Physics · Physics 2018-03-05 Manuel E. Rodrigues , Ednaldo L. B. Junior , Marcos V. de S. Silva

It has been known that a B=2 skyrmion is axially symmetric. We consider the Skyrme model coupled to gravity and obtain static axially symmetric regular and black hole solutions numerically. Computing the energy density of the skyrmion, we…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Noriko Shiiki , Nobuyuki Sawado , Takashi Torii , Kei-ichi Maeda

Using the covariant phase space formalism, we compute the conserved charges for a solution, describing an accelerating and electrically charged Reissner-Nordstrom black hole. The metric is regular provided that the acceleration is driven by…

General Relativity and Quantum Cosmology · Physics 2017-03-17 Marco Astorino

By using the brick wall method we calculate the thermodynamic potential of the complex scalar field in a charged Kerr black hole. Using it we show that in the Hartle-Hawking state the leading term of the entropy is proportional to $\frac{ A…

High Energy Physics - Theory · Physics 2007-05-23 Min-Ho Lee , Jae Kwan Kim

We investigate the absorption of planar massless scalar waves by a charged rotating stringy black hole, namely a Kerr--Sen black hole. We compute numerically the absorption cross section and compare our results with those of the Kerr-Newman…

General Relativity and Quantum Cosmology · Physics 2021-12-28 Sérgio Vinicius M. C. B. Xavier , Carolina L. Benone , Luís C. B. Crispino

In the context of f(R) theories of gravity, we address the problem of finding a rotating charged black hole solution in the case of constant curvature. The new metric is obtained by solving the field equations and we show that the behavior…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Alexis Larranaga

We consider boson stars and black holes in scalar electrodynamics with a V-shaped scalar potential. The boson stars come in two types, having either ball-like or shell-like charge density. We analyze the properties of these solutions and…

General Relativity and Quantum Cosmology · Physics 2010-11-22 Burkhard Kleihaus , Jutta Kunz , Claus Laemmerzahl , Meike List

Using a nonlinear electrodynamics coupled to teleparallel theory of gravity, three regular charged spherically symmetric solutions are obtained. The nonlinear theory reduces to the Maxwell one in the weak limit and the solutions correspond…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

We investigate the energy distribution of a black hole in various spacetimes as reckoned by a distant observer using the quasi-local energy approach. In each case the horizon mass of a black hole: neutral, charged or rotating, is found to…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Yuan K. Ha

Iterative solutions to fourth-order gravity describing static and electrically charged black holes are constructed. Obtained solutions are parametrized by two integration constants which are related to the electric charge and the exact…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jerzy Matyjasek , Dariusz Tryniecki

In this work we construct a family of spherically symmetric, static, charged regular black hole metrics in the context of Einstein-nonlinear electrodynamics theory. The construction of the charged regular black hole metrics is based on…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Leonardo Balart , Elias C. Vagenas

We consider non-linear electrodynamics (NED) minimally coupled to general relativity. We derive novel electrically charged, spherically symmetric, black-hole solutions having, for some set of parameters, all their NED fields (the electric…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Mustapha Azreg-Aïnou
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