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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 study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson

Adopting the Tolman-Oppenheimer-Volkoff formalism, we propose a new analytical solution for a static and spherically symmetric black hole where the cosmological constant is generalized to a non-isotropic Anton-Schmidt fluid acting as a…

General Relativity and Quantum Cosmology · Physics 2020-02-13 Salvatore Capozziello , Rocco D'Agostino , Daniele Gregoris

It is known that NUT solution has many interesting features and pathologies like being non-singular and having closed timelike curves. It turns out that in higher dimensions horizon topology cannot be spherical but it has instead to be…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Sajal Mukherjee , Naresh Dadhich

We find a new black hole in three dimensional anti-de Sitter space by introducing an anisotropic perfect fluid inspired by the noncommutative black hole. This is a regular black hole with two horizons. We compare thermodynamics of this…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Yun Soo Myung , Myungseok Yoon

Recently, it was shown that the extreme Kerr black hole is the only candidate for a (Kerr) black hole limit of stationary and axisymmetric, uniformly rotating perfect fluid bodies with a zero temperature equation of state. In this paper,…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Reinhard Meinel

An exact solution of the vacuum Einstein field equations over a nonsimply-connected manifold is presented. This solution is spherically symmetric and has no curvature singularity. It can be considered to be a regularization of the…

General Relativity and Quantum Cosmology · Physics 2013-09-06 F. R. Klinkhamer

Despite the fact that the Schwarzschild and Kerr solutions for the Einstein equations, when written in standard Schwarzschild and Boyer-Lindquist coordinates, present coordinate singularities, all numerical studies of accretion flows onto…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Philippos Papadopoulos , Jose A. Font

We show that the method used in the Schwarzschild black hole for finding the elementary solution of the electrostatic equation in closed form cannot extend in higher dimensions. By contrast, we prove the existence of static, spherically…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Bernard Linet

We systematically study spherically symmetric static spacetimes filled with a fluid in the Horava-Lifshitz theory of gravity with the projectability condition, but without the detailed balance. We establish that when the spacetime is…

High Energy Physics - Theory · Physics 2010-05-12 Jared Greenwald , Antonios Papazoglou , Anzhong Wang

The spherically symmetric singular perfect fluid shells are considered for the case of their radii being equal to the event horizon (the black shells). We study their observable masses, depending at least on the three parameters, viz., the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Konstantin G. Zloshchastiev

Numerical studies of the gravitational collapse of a stiff (P=rho) fluid have found the now familiar critical phenomena, namely scaling of the black hole mass with a critical exponent and continuous self-similarity at the threshold of black…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Patrick R. Brady , Matthew W. Choptuik , Carsten Gundlach , David W. Neilsen

We study the conditions of a possible static equilibrium between spherically symmetric, electrically charged or neutral black holes and ambient matter. The following kinds of matter are considered: (1) neutral and charged matter with a…

General Relativity and Quantum Cosmology · Physics 2013-05-29 K. A. Bronnikov , O. B. Zaslavskii

In this work, we find novel static and spherically symmetric wormhole geometries using a three-form field. By solving the gravitational field equations, we find a variety of analytical and numerical solutions and show that it is possible…

General Relativity and Quantum Cosmology · Physics 2018-08-10 Bruno J. Barros , Francisco S. N. Lobo

In this paper, we present a new solution of the vacuum Einstein equations in five dimensions which is a static black hole with hyperscaling violation and with a three-dimensional horizon modeled by one the eight Thurston geometries, namely…

High Energy Physics - Theory · Physics 2015-04-29 Mokhtar Hassaine

We investigate static and rotating charged spherically symmetric solutions in the framework of $f({\cal R})$ gravity, allowing additionally the electromagnetic sector to depart from linearity. Applying a convenient, dual description for the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 G. G. L. Nashed , Emmanuel N. Saridakis

It is demonstrated that with using Painlev{\'e}-Gullstrand coordinates in their quasi-Cartesian variant, the Hamiltonian functional for relativistic perfect fluid hydrodynamics near a non-rotating black hole differs from the corresponding…

General Relativity and Quantum Cosmology · Physics 2015-06-19 V. P. Ruban

We consider the field theory that defines a perfect incompressible 2D fluid. One distinctive property of this system is that the quadratic action for fluctuations around the ground state features neither mass nor gradient term. Quantum…

High Energy Physics - Theory · Physics 2024-07-24 Aurélien Dersy , Andrei Khmelnitsky , Riccardo Rattazzi

Fluid analog models for gravity are based on the idea that any spacetime geometry admits a reinterpretation in which space is thought of as a fluid flowing with a prescribed velocity. This fluid picture is a restatement of the ADM…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Pablo Garza , Daniel Kabat , Ariana van Gelder

We obtain the Kerr-anti-de-sitter (Kerr-AdS) and Kerr-de-sitter (Kerr-dS) black hole (BH) solutions to the Einstein field equation in the perfect fluid dark matter background using the Newman-Janis method and Mathematica package. We discuss…

General Relativity and Quantum Cosmology · Physics 2018-04-24 Zhaoyi Xu , Xian Hou , Jiancheng Wang