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We disprove the Euclidean Einstein--Maxwell Black Hole Uniqueness Conjecture, and thus demonstrate that the semi-classical properties of coupled gravitational and electromagnetic fields are more subtle than expected from Lorentzian general…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Bernardo Araneda , Maciej Dunajski

Three non-existence results are established for self-gravitating solitons in Einstein-Maxwell-scalar models, wherein the scalar field is, generically, non-minimally coupled to the Maxwell field via a scalar function $f(\Phi)$. Firstly, a…

General Relativity and Quantum Cosmology · Physics 2019-04-26 Carlos A. R. Herdeiro , João M. S. Oliveira

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

This paper generalizes two previously known techniques for generating minimally coupled Einstein-scalar field solutions in 4 dimensions; the Buchdahl and Fonarev transformations. By applying this solution generation technique, minimally…

General Relativity and Quantum Cosmology · Physics 2007-06-13 Kjell Tangen

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Tod

We present a new class of solutions in odd dimensions to Einstein's equations containing either a positive or negative cosmological constant. These solutions resemble the even-dimensional Eguchi-Hanson--(anti)-de Sitter ((A)dS) metrics,…

High Energy Physics - Theory · Physics 2008-11-26 R. Clarkson , R. B. Mann

We consider self-interacting scalar fields coupled to gravity. Two classes of exact solutions to Einstein's equations are obtained: the first class corresponds to the minimal coupling, the second one to the conformal coupling. One of the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Oleg A. Fonarev

We present a new approach for generating solutions in heterotic string theory compactified down to three dimensions on a torus with d+n>2, where d and n stand for the number of compactified space--time dimensions and Abelian gauge fields,…

High Energy Physics - Theory · Physics 2009-11-07 Alfredo Herrera-Aguilar , Oleg V. Kechkin

Global existence to the coupled Einstein-Maxwell-Massive Scalar Field system which rules the dynamics of a kind of charged pure matter in the presence of a massive scalar field is proved, in Bianchi I-VIII spacetimes; asymptotic behaviour,…

General Relativity and Quantum Cosmology · Physics 2012-05-03 Norbert Noutchegueme , Alexis Nangue

Static axisymmetric Einstein-Maxwell-Dilaton and stationary axisymmetric Einstein-Maxwell-Dilaton-Axion (EMDA) theories in four space-time dimensions are shown to be integrable by means of the inverse scattering transform method. The proof…

High Energy Physics - Theory · Physics 2010-11-01 D. V. Gal'tsov

We report a new class of rotating charged solutions in 2+1 dimensions. These solutions are obtained for Einstein-Maxwell gravity coupled to a dilaton field with selfdual electromagnetic fields. The mass and the angular momentum of these…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sharmanthie Fernando

We present new classes of exact solutions with noncommutative symmetries constructed in vacuum Einstein gravity (in general, with nonzero cosmological constant), five dimensional (5D) gravity and (anti) de Sitter gauge gravity. Such…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Sergiu I. Vacaru

We introduce a new class of inhomogeneous cosmological models as solutions to the Einstein-Maxwell equations in electrovacuum. The new models can be considered to be nonlinear perturbations, through an electromagnetic field, of the…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Jörg Hennig

We present two new classes of axisymmetric stationary solutions of the Einstein-Maxwell-Dilaton equations with coupling constant $\alpha^2=3$. Both classes are written in terms of two harmonic maps $\lambda$ and $\tau$. $\lambda$ determines…

High Energy Physics - Theory · Physics 2014-11-18 Tonatiuh Matos , Cesar Mora

Gravity coupled three--dimensional $\sigma$--model describing the stationary Einstein--Maxwell--dilaton system with general dilaton coupling is studied. Killing equations for the corresponding five--dimensional target space are integrated.…

High Energy Physics - Theory · Physics 2014-11-18 D. V. Gal'tsov , A. A. Garcia , O. V. Kechkin

We report on a new solution to the Einstein-Maxwell equations in 2+1 dimensions with a negative cosmological constant. The solution is static, rotationally symmetric and has a non-zero magnetic field. The solution can be interpreted as a…

High Energy Physics - Theory · Physics 2010-11-19 Eric W. Hirschmann , Dean L. Welch

We demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution. An interesting feature of the new class of…

General Physics · Physics 2020-11-25 K. Komathiraj , Ranjan Sharma

All the causally regular geometries obtained from (2+1)-anti-de Sitter space by identifications by isometries of the form $P \rightarrow (\exp \pi\xi) P$, where $\xi$ is a self-dual Killing vector of $so(2,2)$, are explicitely constructed.…

High Energy Physics - Theory · Physics 2007-05-23 O. Coussaert , M. Henneaux

The cosmological black hole solution on the Gibbons-Hawking space has been constructed. We also investigate the properties of this solution in the case of a single black hole. Unlike the Kastor-Traschen solution, which becomes static…

High Energy Physics - Theory · Physics 2008-11-26 Daisuke Ida , Hideki Ishihara , Masashi Kimura , Ken Matsuno , Yoshiyuki Morisawa , Shinya Tomizawa

We discuss solution generating techniques treating stationary and axially symmetric metrics in the presence of a cosmological constant. Using the recently found extended form of Ernst's complex equation, which takes into account the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christos Charmousis