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The static, plane symmetric solutions and cylindrically symmetric solutions of Einstein-Maxwell equations with a negative cosmological constant are investigated. These black configurations are asymptotically anti-de Sitter not only in the…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Rong-Gen Cai , Yuan-Zhong Zhang

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 prove that the Einstein equations can be solved in a very general form for arbitrary spacetime dimensions and various types of vacuum and non-vacuum cases following a geometric method of anholonomic frame deformations for constructing…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Sergiu I. Vacaru

We study the Cauchy problem of higher dimensional Einstein-Maxwell-Higgs system in the framework of Bondi coordinates. As a first step, the problem is reduced to a single first-order integro-differential equation by defining a generalized…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Mirda Prisma Wijayanto , Fiki Taufik Akbar , Bobby Eka Gunara

We present a one-parameter family of stationary, asymptotically flat solutions of the Einstein-Maxwell equations with only a mild singularity, which are endowed with mass, angular momentum, a dipole magnetic moment and a quadrupole electric…

General Relativity and Quantum Cosmology · Physics 2017-06-15 Gérard Clément , Dmitri Gal'tsov

We construct numerical solutions to the higher-dimensional Einstein-Maxwell theory. The solutions are based on embedding the four dimensional Bianchi type IX space in the theory. We find the solutions as superposition of two functions,…

General Relativity and Quantum Cosmology · Physics 2022-04-14 Masoud Ghezelbash

We show how one can systematically construct vacuum solutions to Einstein field equations with $D-2$ commuting Killing vectors in $D>4$ dimensions. The construction uses Einstein-scalar field seed solutions in 4 dimensions and is performed…

High Energy Physics - Theory · Physics 2008-11-26 N. Bretón , A. Feinstein , L. A. López , .

Four--dimensional Einstein--Maxwell--dilaton--axion system restricted to space--times with one non--null Killing symmetry is formulated as the three--dimensional gravity coupled sigma--model. Several alternative representations are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. V. Gal'tsov , O. V. Kechkin

The numerical evolution of Einstein's field equations in a generic background has the potential to answer a variety of important questions in physics: from applications to the gauge-gravity duality, to modelling black hole production in TeV…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Miguel Zilhao , Helvi Witek , Ulrich Sperhake , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Andrea Nerozzi

We present exact solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity. The condition of pressure isotropy yields a difference equation with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. D. Maharaj , K. Komathiraj

In the framework of Einstein-Maxwell-axion theory we consider static spherically symmetric solutions, which describe a magnetic monopole in the axionic environment. These solutions are interpreted as the solutions for an axionic dyon, the…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Alexander B. Balakin , Alexei E. Zayats

In this work, we generalize Ernst potentials to the Einstein-Maxwell-Dilaton case and explicitly write the corresponding potential space metric. Since this metric is five-dimensional in potential space, we generalize the corresponding…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Leonel Bixano , Tonatiuh Matos

We look for and analyze in some details some exact solutions of Einstein-Maxwell-dilaton gravity with one or two Liouville-type dilaton potential(s) in an arbitrary dimension. Such a theory could be obtained by dimensionally reducing…

High Energy Physics - Theory · Physics 2014-11-18 Rong-Gen Cai , Anzhong Wang

Godel-type metrics are introduced and used in producing charged dust solutions in various dimensions. The key ingredient is a (D-1)-dimensional Riemannian geometry which is then employed in constructing solutions to the Einstein-Maxwell…

High Energy Physics - Theory · Physics 2009-11-10 M. Gurses , A. Karasu , O. Sarioglu

We present a general solution of the coupled Einstein-Maxwell field equations (without the source charges and currents) in three spacetime dimensions. We also admit any value of the cosmological constant. The whole family of such…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Jiri Podolsky , Matus Papajcik

Axisymmetric Solutions of the vacuum Einstein equations are found in the Papapetrou-Weyl gauge. The solutions depend on two pairs of functionals, each pair of two functions depends on a different arbitrarily chosen function of one variable.…

General Relativity and Quantum Cosmology · Physics 2016-07-29 Louis Witten

We study the classical theory of a non-Abelian gauge field (gauge group $SU(2)$) coupled to a massive dilaton, massive axion and Einstein gravity. The theory is inspired by the bosonic part of the low-energy heterotic string action for a…

High Energy Physics - Theory · Physics 2010-11-01 Christopher M. O'Neill

We study various aspects of four dimensional Einstein-Maxwell multicentred gravitational instantons. These are half-BPS Riemannian backgrounds of minimal N=2 supergravity, asymptotic to R^4, R^3 x S^1 or AdS_2 x S^2. Unlike for the…

High Energy Physics - Theory · Physics 2008-11-26 Maciej Dunajski , Sean A. Hartnoll

Original abstract: "We construct periodic solutions of nonlinear wave equations using analytic continuation. The construction applies in particular to Einstein equations, leading to infinite-dimensional families of time-periodic solutions…

General Relativity and Quantum Cosmology · Physics 2023-04-25 Piotr T. Chruściel

A new method of construction of integral varieties of Einstein equations in three dimensional (3D) and 4D gravity is presented whereby, under corresponding redefinition of physical values with respect to anholonomic frames of reference with…

General Relativity and Quantum Cosmology · Physics 2010-02-03 Sergiu I. Vacaru