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An asymptotically flat static solution of Einstein-Maxwell equations which describes the field of two non-extreme Reissner - Nordstr\"om sources in equilibrium is presented. It is expressed in terms of physical parameters of the sources…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. A. Alekseev , V. A. Belinski

Exact solutions describing rotating black holes can offer important tests for alternative theories of gravity, motivated by the dark energy and dark matter problems. We present an analytic rotating black hole solution for a class of…

High Energy Physics - Theory · Physics 2018-04-10 Francesco Filippini , Gianmassimo Tasinato

This short note compares different methods to prove that Einstein-Dirac systems have no static, spherically symmetric solutions.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Felix Finster , Joel Smoller , Shing-Tung Yau

We study a simple analytic solution to Einstein's field equations describing a thin spherical shell consisting of collisionless particles in circular orbit. We then apply two independent criteria for the identification of circular orbits,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Monica L. Skoge , Thomas W. Baumgarte

We discuss a solution of the Einstein equations, obtained by gluing the external Kerr metric and the internal Weyl metric, describing an axisymmetric static vacuum distorted black hole. These metrics are glued at the null surfaces…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Valeri P. Frolov , Andrei V. Frolov

(Abridged) A solution is obtained for the interior structure of an uncharged rotating black hole that accretes a collisionless fluid. The solution is conformally stationary, axisymmetric, and conformally separable, possessing a conformal…

General Relativity and Quantum Cosmology · Physics 2012-01-16 Andrew J. S. Hamilton

Adopting noncommutative spacetime coordinates, we determined a new solution of Einstein equations for a static, spherically symmetric matter source. The limitations of the conventional Schwarzschild solution, due to curvature singularities,…

High Energy Physics - Theory · Physics 2007-05-23 Piero Nicolini

A stationary and spherically symmetric black hole (For example, Reissner-Nordstrom black hole or Kerr-Newman black hole) has at most one singularity and two horizons. One horizon is the outer event horizon and the other is the inner Cauchy…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Changjun Gao , Youjun Lu , Shuang Yu , You-Gen Shen

In this paper we present and analyze the simplest physically meaningful model for stationary black diholes - a binary configuration of counter-rotating Kerr-Newman black holes endowed with opposite electric charges - elaborated in a…

General Relativity and Quantum Cosmology · Physics 2015-11-09 V. S. Manko , R. I. Rabadán , J. D. Sanabria-Gómez

We present arguments for the existence of charged, rotating black holes with equal-magnitude angular momenta in an odd number of dimensions $D\geq 5$. These solutions posses a regular horizon of spherical topology and approach…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jutta Kunz , Francisco Navarro-Lerida , Eugen Radu

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

A complete solution describing a binary system constituted by two unequal counter-rotating black holes with a massless strut inbetween is presented. It is expressed in terms of four arbitrary parameters: the half length of the two rods…

General Relativity and Quantum Cosmology · Physics 2014-05-13 I. Cabrera-Munguia , Claus Lämmerzahl , Alfredo Macías

We consider the classification of asymptotically flat, stationary, vacuum black hole spacetimes in four and five dimensions, that admit one and two commuting axial Killing fields respectively. It is well known that the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2023-01-05 James Lucietti , Fred Tomlinson

We present numerical evidence for the existence of several types of static black hole solutions with a nonspherical event horizon topology in $d\geq 6$ spacetime dimensions. These asymptotically flat configurations are found for a specific…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Burkhard Kleihaus , Jutta Kunz , Eugen Radu , Maria J. Rodriguez

In the present paper binary configurations of identical corotating Kerr-Newman black holes separated by a massless strut are derived and studied. After solving the axis conditions and establishing the absence of magnetic charges in the…

General Relativity and Quantum Cosmology · Physics 2020-11-13 I. Cabrera-Munguia , Etevaldo dos Santos Costa Filho , Héctor H. Hernández , David Vázquez-Valdez

The established concept of black hole emerged from several results founded on Einstein's General Theory of Relativity. In this article, the relationship between these results is analyzed, and it is pointed out how, in spite of being…

General Relativity and Quantum Cosmology · Physics 2010-07-27 Miquel Pinyol Ribas , Ignacio Lopez Aylagas

It is known that two Reissner-Nordstrom black holes or two overextreme Reissner-Nordstrom sources cannot be in physical equilibrium. In the static case such equilibrium is possible only if one of the sources is a black hole and another one…

General Relativity and Quantum Cosmology · Physics 2019-08-27 G. A. Alekseev , V. A. Belinski

We show that a stationary solution of the Einstein-Maxwell equations which is close to a non-degenerate Reissner-Nordstr\"om-de Sitter solution is in fact equal to a slowly rotating Kerr-Newman-de Sitter solution. The proof uses the…

General Relativity and Quantum Cosmology · Physics 2020-05-28 Peter Hintz

The domain of outer communication of five-dimensional asymptotically flat stationary spacetimes may possess non-trivial 2-cycles. We discuss how this may lead to a gross violation of black hole uniqueness, beyond the existence of black…

High Energy Physics - Theory · Physics 2017-04-14 Hari K. Kunduri , James Lucietti

In this paper we present a non-singular black hole model as a possible end-product of gravitational collapse. The depicted spacetime which is type [II,(II)], by Petrov classification, is an exact solution of the Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Manasse R. Mbonye , Demosthenes Kazanas