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Related papers: Stationary Black Holes

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We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationary vacuum is isometric to the domain of…

General Relativity and Quantum Cosmology · Physics 2015-01-14 S. Alexakis , A. D. Ionescu , S. Klainerman

The Einstein-Maxwell equations in D-dimensions admitting (D-3) commuting Killing vector fields have been investigated. The existence of the electric, magnetic and twist potentials have been proved. The system is formulated as the harmonic…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Daisuke Ida , Yuki Uchida

We study black holes for the linear hyperbolic equations describing the wave propagation in the moving medium. Such black holes are called artificial since the Lorentz metric associated with the hyperbolic equation does not necessary…

Analysis of PDEs · Mathematics 2011-05-11 Gregory Eskin

We review explicit solutions to the stationary axisymmetric Einstein-Maxwell equations which can be interpreted as disks of charged dust. The disks of finite or infinite extension are infinitesimally thin and constitute a surface layer at…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Klein

We present and analyze exact solutions of the Einstein-Maxwell and Einstein-Maxwell-Dilaton equations that describe static pairs of oppositely charged extremal black holes, i.e., black diholes. The holes are suspended in equilibrium in an…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan

This paper presents a systematical study of stationary (rotating) cylindrical space-times of a Weyl form that are solutions to D=4 Einstein-Maxwell equations with cosmological constant. The corresponding equations of motion - with zero…

General Relativity and Quantum Cosmology · Physics 2013-08-14 Martin Čermák

We present a broad review on black holes. We analyse some of the fundamental concepts in black hole theory, the observational and theoretical status of stellar and galactic black holes, and their appearance as quantum objects.

Astrophysics · Physics 2007-05-23 Jose' P. S. Lemos

In this paper we present Plane symmetric, Cylindrically Symmetric and Spherically Symmetric Black hole or Vacuum solutions of Einstein Field Equations(EFEs). Some of these solutions are new which we have not seen in the literature. This…

General Physics · Physics 2024-08-15 Farhad Ali

In this article we deduce two new exact solutions of Einstein's equations for eternal black holes, now related to stiff matter, one `static' and another rotating (stationary like the Kerr one), thus the number of these eternal solutions…

General Relativity and Quantum Cosmology · Physics 2012-10-19 Nikolai V. Mitskievich

We prove a removable singularities theorem for stationary Einstein equations, with useful implications for constructions of stationary solutions using soliton methods.

General Relativity and Quantum Cosmology · Physics 2011-05-09 Piotr T. Chruściel , Luc Nguyen

A solution of the Einstein vacuum field equations is constructed within the contex of perturbation theory. The solution possesses a graphical representation in terms of diagrams.

General Relativity and Quantum Cosmology · Physics 2009-11-15 A. V. Bratchikov

We present new exact inhomogeneous vacuum cosmological solutions of Einstein's equations. They provide new information about the nature of general cosmological solutions to Einstein's equations.

General Relativity and Quantum Cosmology · Physics 2007-05-23 John D. Barrow , Kerstin E. Kunze

In this paper we propose a class of exact solutions (stationary and non-stationary) of Einstein's field equations. The energy-momentum tensors of the solutions describe dark energy.

General Relativity and Quantum Cosmology · Physics 2011-09-12 Ng. Ibohal , Ngangbam Ishwarchandra , K. Yugindro Singh

The black hole solutions to Einstein's vacuum field equations are also solutions to the equations of motion of the low energy limit of superstring theory. At the same time, string theory boasts a much broader and richer collection of black…

High Energy Physics - Theory · Physics 2007-05-23 J. C. Breckenridge

Using a generalized Weyl formalism, we show how stationary, axisymmetric solutions of the four-dimensional vacuum Einstein equation can be turned into static, axisymmetric solutions of five-dimensional dilaton gravity coupled to a two-form…

High Energy Physics - Theory · Physics 2009-11-10 Edward Teo

We consider the effective theory of the large D stationary black hole. By solving Einstein equation with a cosmological constant using the 1/D expansion in near zone of a black hole we obtain the effective equation for the stationary black…

High Energy Physics - Theory · Physics 2015-10-09 Ryotaku Suzuki , Kentaro Tanabe

The first exact rotating charged black hole solution to the Einstein{nonlinear electrodynamics theory is reported. It is equipped with mass, rotation parameter, electric and magnetic charges, and three parameters due to the electrodynamics:…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Alberto A. Garcia-Diaz

Charged, rotating black hole solutions of Einstein's gravitational equations are investigated in the presence of a cosmological constant. A pair of wave equations governing the electromagnetic and gravitational perturbations are derived.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zoltán Perjés

We extend earlier discussions of the balance problem for two black holes and study stationary spacetimes containing an arbitrary number of $n$ aligned rotating and (possibly) charged black holes. For these hypothetical equilibrium…

General Relativity and Quantum Cosmology · Physics 2020-09-21 Jörg Hennig

A black hole solution in a teleparallel theory of (2+1)-dimensional gravity, given in a previous paper, is examined. This solution is also a solution of the three-dimensional vacuum Einstein equation with a vanishing cosmological constant.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Toshiharu Kawai