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Axially symmetric, stationary solutions of the Einstein-Maxwell equations with disconnected event horizon are studied by developing a method of explicit integration of the corresponding boundary-value problem. This problem is reduced to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. G. Varzugin , A. S. Chistyakov

We consider 5D Einstein-Maxwell (EM) gravity in spacetimes with three commuting Killing vectors: one timelike and two spacelike Killing vectors one of them being hypersurface-orthogonal. Assuming a special ansatz for the Maxwell field we…

High Energy Physics - Theory · Physics 2008-11-26 Stoytcho S. Yazadjiev

We derive a local curvature estimate for four-dimensional stationary solutions to the inheriting Einstein-Maxwell-Klein-Gordon equations. In particular, it implies that any such stationary geodesically complete solution with vanishing…

Differential Geometry · Mathematics 2016-06-21 Bing-Long Chen

A nonlinear charged version of the (2+1)-anti de Sitter black hole solution is derived. The source to the Einstein equations is a Born-Infeld electromagnetic field, which in the weak field limit becomes the (2+1)-Maxwell field. The obtained…

High Energy Physics - Theory · Physics 2009-10-31 Mauricio Cataldo , Alberto Garcia

Two solutions of the coupled Einstein-Maxwell field equations are found by means of the Horsky-Mitskievitch generating conjecture. The vacuum limit of those obtained classes of spacetimes is the seed gamma-metric and each of the generated…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Richterek , J. Novotny , J. Horsky

We consider 5D Einstein-Maxwell-dilaton (EMd) gravity in spacetimes with three commuting Killing vectors: one timelike and two spacelike Killing vectors, one of which is hypersurface-orthogonal. Assuming a special ansatz for the Maxwell…

High Energy Physics - Theory · Physics 2009-11-11 Stoytcho S. Yazadjiev

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 , .

A new derivation of the five-dimensional Myers-Perry black-hole metric as a 2-soliton solution on a non-flat background is presented. It is intended to be an illustration of how the well-known Belinski-Zakharov method can be applied to find…

High Energy Physics - Theory · Physics 2007-05-23 Andrei Pomeransky

Three different classes of static solutions of the Einstein--Maxwell equations non--minimally coupled to a dilaton field are presented. The solutions are given in general in terms of two arbitrary harmonic functions and involve among others…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tonatiuh Matos , Darío Núñez , Hernando Quevedo

In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigoris Panotopoulos

It was shown by Weyl that the general static axisymmetric solution of the vacuum Einstein equations in four dimensions is given in terms of a single axisymmetric solution of the Laplace equation in three-dimensional flat space. Weyl's…

High Energy Physics - Theory · Physics 2009-11-07 Roberto Emparan , Harvey S. Reall

Using a recently developed generalized Weyl formalism, we construct an asymptotically flat, static vacuum Einstein solution that describes a superposition of multiple five-dimensional Schwarzschild black holes. The spacetime exhibits a…

High Energy Physics - Theory · Physics 2009-11-10 H. S. Tan , Edward Teo

We obtain static and rotating electrically charged black holes of a Einstein-Maxwell-Dilaton theory of the Brans-Dicke type in (2+1)-dimensions. The theory is specified by three fields, the dilaton, the graviton and the electromagnetic…

High Energy Physics - Theory · Physics 2009-11-07 Oscar J. C. Dias , Jose' P. S. Lemos

We discuss universal properties of axisymmetric and stationary configurations consisting of a central black hole and surrounding matter in Einstein-Maxwell theory. In particular, we find that certain physical equations and inequalities…

General Relativity and Quantum Cosmology · Physics 2011-04-28 Marcus Ansorg , Jörg Hennig , Carla Cederbaum

The three-dimensional static and circularly symmetric solution of the Einstein-Born-Infeld-dilaton system is derived. The solutions corresponding to low energy string theory are investigated in detail, which include black hole solutions if…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ryo Yamazaki , Daisuke Ida

We review the vacuum solutions of Einstein's equations in higher dimensions known as Myers-Perry metrics. In many respects, these solutions describing spinning black holes admit the same remarkable properties as the standard Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2011-11-09 Robert C. Myers

We construct an exact solution in four-dimensional Einstein-Maxwell-dilaton theory, describing multi-centered rotating black holes carrying both electric and magnetic charges, obtained via dimensional reduction from five-dimensional…

High Energy Physics - Theory · Physics 2025-10-01 Shinya Tomizawa , Jun-ichi Sakamoto , Ryotaku Suzuki

The functional potential formalism is used to analyze stationary axisymmetric spaces in the Einstein-Maxwell-Dilaton theory. Performing a Legendre transformation, a ``Hamiltonian''is obtained, which allows to rewrite the dynamical equations…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tonatiuh Matos , Dario Nunez , Maribel Rios

We study Robinson-Trautman spacetimes in the presence of an aligned p-form Maxwell field and an arbitrary cosmological constant in n>=4 dimensions. As it turns out, the character of these exact solutions depends significantly on the…

General Relativity and Quantum Cosmology · Physics 2015-03-03 Marcello Ortaggio , Jiri Podolsky , Martin Zofka

We apply a Harrison transformation to higher dimensional asymptotically flat black hole solutions, which puts them into an external magnetic field. First, we magnetize the Schwarzschild-Tangherlini metric in arbitrary spacetime dimension…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcello Ortaggio