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In this work we have obtained the set of new exact solutions of the Einstein equations that generalize the known Lemaitre-Tolman-Bondi solution for the certain case of nonzero pressure under zero spatial curvature. These solutions are…

General Relativity and Quantum Cosmology · Physics 2016-11-29 E. Kopteva , P. Jaluvkova , Z. Stuchlik

An exact and analytical solution of four dimensional vacuum General Relativity representing a system of two static black holes at equilibrium is presented. The metric is completely regular outside the event horizons, both from curvature and…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Adriano Viganò

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio

The classical Einstein--Maxwell field equations admit static horizonless wormhole solutions with only a circular cosmic string singularity. We show how to extend these static solutions to exact rotating asymptotically flat solutions. For a…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Gérard Clément

In this work we have constructed axially symmetric vacuum solutions of the gravitational field equations in a Randall-Sundrum brane. A non-null effective cosmological constant is considered, and asymptotically de Sitter and anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2013-01-14 J. C. S. Neves , C. Molina

By using of the Euler-Lagrange equations, we find a static spherically symmetric solution in the Einstein-aether theory with the coupling constants restricted. The solution is similar to the Reissner-Nordstrom solution in that it has an…

General Relativity and Quantum Cosmology · Physics 2013-11-14 Changjun Gao , You-Gen Shen

A charged, non-rotating, spherically symmetric black hole which has cosmological constant $\Lambda$ (Reissner-Nordstr\"om+$\Lambda$ or RN+$\Lambda$), active gravitational mass $M$ and electric charge $Q$ is studied with exterior…

General Physics · Physics 2021-11-17 Safiqul Islam , Priti Mishra , Somi Aktar , Farook Rahaman

We discuss the recently discovered new class of globally regular and black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These asymptotically flat solutions are static and possess only axial symmetry. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. Kleihaus , J. Kunz

We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordstr\"om background fast enough at infinity- in presence of a massive and charged…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Maxime Van de Moortel

We study a solution of the Einstein's equations generated by a self-gravitating, anisotropic, static, non-singular matter fluid. The resulting Schwarzschild like solution is regular and accounts for smearing effects of noncommutative…

High Energy Physics - Theory · Physics 2015-02-05 Antonia Micol Frassino

We consider the quantization of the complete extension of the Schwarzschild space-time using spherically symmetric loop quantum gravity. We find an exact solution corresponding to the semi-classical theory. The singularity is eliminated but…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rodolfo Gambini , Jorge Pullin

We consider black holes in EYM theory with a negative cosmological constant. The solutions obtained are somewhat different from those for which the cosmological constant is either positive or zero. Firstly, regular black hole solutions…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Winstanley

In this work we study static black holes in the regularized 4D Einstein-Gauss-Bonnet theory of gravity; a shift-symmetric scalar-tensor theory that belongs to the Horndeski class. This theory features a simple black hole solution that can…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Pedro G. S. Fernandes , Pedro Carrilho , Timothy Clifton , David J. Mulryne

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 examine strictly static asymptotically flat spacetimes in Einstein-Gauss-Bonnet gravity with U(1) gauge field, revealing that, up to small curvature corrections, confomally flat slices of the spacetime in question are of Minkowski…

High Energy Physics - Theory · Physics 2016-01-26 Marek Rogatko

In this paper, we construct the exact solutions of Reissner-Nordstrom black holes in the presence of quartic quasi-topological gravity. we obtain the thermodynamics and conserved quantities of the solutions and check the first law of…

General Relativity and Quantum Cosmology · Physics 2018-06-06 M. Ghanaatian , F. Naeimipour , A. Bazrafshan , M. Abkar

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

This is the second article of a series or two, proving a generalisation of the uniqueness theorem of the Schwarzschild solution. The theorem to be shown classifies all (metrically complete) solutions of the static vacuum Einstein equations…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Martín Reiris Ithurralde

We study black holes produced by the collapse of a spherically symmetric charged scalar field in asymptotically flat space. We employ a late time expansion and show decaying fluxes of radiation through the event horizon imply the black hole…

General Relativity and Quantum Cosmology · Physics 2019-12-03 Paul M. Chesler , Ramesh Narayan , Erik Curiel

We investigate black hole solutions within a phenomenological approach to quantum gravity based on spacetime thermodynamics developed by Alonso-Serrano and Li\v{s}ka. The field equations are traceless, similarly to unimodular gravity, and…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Ana Alonso-Serrano , Marco de Cesare , Manuel Del Piano
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