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Certain exact solutions of the Einstein field equations over nonsimply-connected manifolds are reviewed. These solutions are spherically symmetric and have no curvature singularity. They provide a regularization of the standard…

General Relativity and Quantum Cosmology · Physics 2015-06-17 F. R. Klinkhamer

We give circularly symmetric solutions for null fluid collapse in 2+1-dimensional Einstein gravity with a cosmological constant. The fluid pressure $P$ and energy density $\rho$ are related by $P=k\rho$ $(k\le 1)$. The long time limit of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Viqar Husain

Configurations of rotating black holes in the cubic Galileon theory are computed by means of spectral methods. The equations are written in the 3+1 formalism and the coordinates are based on the maximal slicing condition and the spatial…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Philippe Grandclément

Assuming that universe is the object of point rotation at a frequency, the relationship is established between this frequency and the cosmological constant. Using the transformation for point-like rotating coordinate systems, an unusual…

General Physics · Physics 2018-07-25 Boris V. Gisin

In this work we intend to discuss the solitonic solutions of Einstein's field equations in vacuum by constructing the solution to N solitons and studying some aspects of it. In conclusion, it will be shown how the Kerr black hole can be…

Exactly Solvable and Integrable Systems · Physics 2022-03-30 Federico Manzoni

An original way of presentation of the Schwarzschild black hole in the form of a point-like mass with making the use of the Dirac $\delta$-function, including a description of a continuous collapse to such a point mass, is given. A…

General Relativity and Quantum Cosmology · Physics 2017-12-29 A. N. Petrov

Starting from a spherically symmetric tetrad with three unknown functions of the radial coordinate, a general solution of M{\o}ller's field equations in case of spherical symmetry nonsingular black hole is derived. The previously obtained…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Gamal G. L. Nashed

We present a family of extensions of spherically symmetric Einstein-Lanczos-Lovelock gravity. The field equations are second order and obey a generalized Birkhoff's theorem. The Hamiltonian constraint can be written in terms of a…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Gabor Kunstatter , Hideki Maeda , Tim Taves

We construct black hole solutions to three-dimensional Einstein-Maxwell theory with both gravitational and electromagnetic Chern-Simons terms. These intrinsically rotating solutions are geodesically complete, and causally regular within a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Ait Moussa , G. Clement , H. Guennoune , C. Leygnac

Black hole configurations offer insights on the non-linear aspects of gravitational theories, and can suggest testable predictions for modifications of General Relativity. In this work, we examine exact black hole configurations in…

High Energy Physics - Theory · Physics 2016-08-17 Javier Chagoya , Gustavo Niz , Gianmassimo Tasinato

The galactic black hole is a supermassive black hole located at the center of a galaxy surrounded by a dark matter halo. For the first time, we establish a generic, fully-relativistic formalism to calculate solutions of Einstein's gravity…

General Relativity and Quantum Cosmology · Physics 2024-04-01 Chao Zhang , Guoyang Fu , Chunyu Zhang

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio M. C. V. Goncalves

Under certain conditions imposed on the energy-momentum tensor, a theorem that characterizes a two-parameter family of static and spherically symmetric solutions to Einstein's field equations (black holes), is proved. A discussion on the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marcelo Salgado

We present numerical evidences for the validity of the inequality between the total mass and the total angular momentum for multiple axially symmetric (non-stationary) black holes. We use a parabolic heat flow to solve numerically the…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Sergio Dain , Omar Ortiz

Adopting a simple ansatz, we find exact solutions to the Einstein-Maxwell-dilaton equations, which stand for the multi-black hole configuration with maximal charge in a cosmological metric and dilaton field background driven by a…

General Relativity and Quantum Cosmology · Physics 2019-03-04 Takuya Maki , Kiyoshi Shiraishi

We show that an analytical continuation of the Vuorio solution to three-dimensional topologically massive gravity leads to a two-parameter family of black hole solutions, which are geodesically complete and causally regular within a certain…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Karim Ait Moussa , Gerard Clement , Cedric Leygnac

The modern notion of a black hole singularity is considered with reference to the Schwarzschild solution to Einstein's field equations of general relativity. A brief derivation of both the original and the modern line elements is given. The…

General Physics · Physics 2008-06-09 M. Anyon , J. Dunning-Davies

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

The black hole solutions in higher-dimensional spacetimes with the presence of the power-Maxwell field, surrounded by quintessence, are investigated for Einstein as well as Rastall gravity. The obtained solutions accommodate for spherical,…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Kai Lin , Yunqi Liu , Wei-Liang Qian

We construct a new class of asymptotically flat black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are static, and they have a regular event horizon. However, they possess only…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz