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Stationary circularly symmetric solutions of General Relativity with negative cosmological constant coupled to the Maxwell field are analyzed in three spacetime dimensions. Taking into account that the fall-off of the fields is slower than…

High Energy Physics - Theory · Physics 2015-11-04 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

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

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

Geodesic equations of timelike and null charged particles in the Ernst metric are studied. We consider two distinct forms of the Ernst solution where the Maxwell potential represents either a uniform electric or magnetic field. Circular…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Yen-Kheng Lim

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

Magnetic fields surrounding spinning black holes can confine radiation and trigger superradiant instabilities. To investigate this effect, we perform the first fully-consistent linear analysis of the Ernst spacetime, an exact solution of…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Richard Brito , Vitor Cardoso , Paolo Pani

We consider $5$ dimensional electrostatic solutions to Einstein-Maxwell gravity with $2$ commuting spacelike Killing fields. Taking two distinct reductions from $5$ dimensions to a $3$ dimensional base space, we write the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Fred Tomlinson

We obtain new solutions of Einsteinian cubic gravity coupled to a Maxwell field that describe the near-horizon geometry of charged and rotating black holes. We show that the AdS$_2\times\mathbb{S}^2$ near-horizon geometry of…

High Energy Physics - Theory · Physics 2020-02-19 Pablo A. Cano , David Pereñiguez

In this thesis, we present new exact solutions of Einstein-Maxwell's field equations, with the most general case being the dyonic Kerr-Newman black hole in a Melvin-swirling universe, obtained analytically using the Ehlers-Harrison…

General Relativity and Quantum Cosmology · Physics 2024-07-17 Andrea Di Pinto

We extend the Wald solution to a black hole that is also boosted. More specifically, we derive analytic solutions for the Maxwell equations for a rotating black hole moving at constant speed in an asymptotically uniform magnetic test field.…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Viktoriya S. Morozova , Luciano Rezzolla , Bobomurat J. Ahmedov

Large scale magnetic fields pervade the cosmic environment where the astrophysical black holes are often embedded and influenced by the mutual interaction. In this contribution we outline the appropriate mathematical framework to describe…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Vladimir Karas

We present a new exact solution of Einstein-Maxwell field equations which represents a rotating black hole with both electric and magnetic charges immersed in a universe which itself is also rotating and magnetized, i.e. the dyonic…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Andrea Di Pinto , Silke Klemm , Adriano Viganò

The Bekenstein-Hawking entropy of black holes in Einstein's theory of gravity is equal to a quarter of the horizon area in units of Newton's constant. Wald has proposed that in general theories of gravity the entropy of stationary black…

High Energy Physics - Theory · Physics 2014-11-18 Ram Brustein , Dan Gorbonos , Merav Hadad

We consider the Generalized Minimal Massive Gravity (GMMG) model in the first order formalism. We show that all the solutions of the Einstein gravity with negative cosmological constants solve the equations of motion of considered model.…

High Energy Physics - Theory · Physics 2016-08-03 M. R. Setare , H. Adami

In this paper, we present the solution for a Schwarzschild black-hole immersed in an electric or magnetic background field \`a la Melvin within the framework of Entangled Relativity. Previous solutions in Entangled Relativity required…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Olivier Minazzoli , Maxime Wavasseur

An exact and analytical solution, in four-dimensional general relativity coupled with Maxwell electromagnetism, is built by means of a Lie point symmetry of the Ernst equations, the Harrison transformation. The new spacetime describes a…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Marco Astorino

An intriguing open problem in general relativity is whether a stationary equilibrium configuration of multiple, physically relevant black holes can exist. In such a hypothetical setup, the gravitational attraction would need to be balanced…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Jörg Hennig

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

We extend the formulation for perturbations of maximally symmetric black holes in higher dimensions developed by the present authors in a previous paper (hep-th/0305147) to a charged black hole background whose horizon is described by an…

High Energy Physics - Theory · Physics 2008-11-26 Hideo Kodama , Akihiro Ishibashi

From a general metric for stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional gravity the uniqueness of wide families of exact solutions is established, among them, all…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alberto A. Garcia-Diaz
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