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We consider static, spherically symmetric solutions of 5D general relativity with magnetic fields governed by nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_{AB} F^{AB}$, and show that generic solutions describe either…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova

We discuss static, spherically symmetric solutions to the 5D Einstein-Maxwell equations (belonging to wide classes of multidimensional solutions known at least from the 1990s) and select among them those which must observationally look like…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova

We find new solutions to the Einstein-Maxwell equations in the presence of mimetic field in $ D $ dimensions, all of which are asymptotically Antide Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Hamid R. Bakhtiarizadeh

The electric and magnetic black hole solutions are found by coupling the recently introduced nonlinear electrodynamics (NED) model, called "double logharitmic nonlinear electrodynamics" with cosmological Einstein gravity. The solutions…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Ibrahim Gullu , S. Habib Mazharimousavi

We obtain charged rotating black hole solutions to the theory of Einstein-Maxwell gravity with cosmological constant in five dimensions. Some of the physical properties of these black holes are discussed.

High Energy Physics - Theory · Physics 2009-10-31 D. Klemm , W. A. Sabra

Black hole solutions in higher dimensional Einstein and Einstein-Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. N. Aliev

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 study smooth bubble spacetimes in five-dimensional Einstein-Maxwell theory that resemble four-dimensional magnetic black holes upon Kaluza-Klein reduction. We denote them as Topological Stars since they have topological cycles supported…

High Energy Physics - Theory · Physics 2021-07-23 Ibrahima Bah , Pierre Heidmann

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 consider the classification of static near-horizon geometries of stationary extremal (not necessarily BPS) black hole solutions of five dimensional Einstein-Maxwell theory coupled to a Chern-Simons term with coupling xi (with xi=1…

High Energy Physics - Theory · Physics 2009-12-23 Hari K. Kunduri , James Lucietti

We study the linear response of four dimensional magnetized black holes and regular topological stars arising from dimensional compactification of Einstein-Maxwell theory in five dimensions. We consider both radial and nonradial…

General Relativity and Quantum Cosmology · Physics 2024-10-03 Alexandru Dima , Marco Melis , Paolo Pani

Topological stars are regular, horizonless solitons arising from dimensional compactification of Einstein-Maxwell theory in five dimensions, which could describe qualitative properties of microstate geometries for astrophysical black holes.…

General Relativity and Quantum Cosmology · Physics 2025-02-10 Alexandru Dima , Marco Melis , Paolo Pani

Different types of gravitating compact objects occuring in d=5 space-time are considered: boson stars, hairy black holes and perfect fluid solutions. All these solutions of the Einstein equations coupled to matter have well established…

General Relativity and Quantum Cosmology · Physics 2016-07-27 Y. Brihaye , T. Delsate

It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_mn F^mn$ having a correct weak field limit, leads to nontrivial static, spherically symmetric solutions with a globally…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Kirill A. Bronnikov

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

It is well-known that the 5D equations without sources may be reduced to the 4D ones with sources, provided an appropriate definition for the energy-momentum tensor of matter in terms of the extra part of the geometry.The advantage consists…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Maria C. Neacsu

We construct a new class of Einstein-Maxwell static solutions with a magnetic field in $D$-dimensions (with $D\geq 5$ an odd number), approaching at infinity a globally Anti-de Sitter (AdS) spacetime. In addition to the mass, the new…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

We construct new charged static solutions of the Einstein-Maxwell field equations in five dimensions via a solution generation technique utilizing the symmetries of the reduced Lagrangian. By applying our method on the…

High Energy Physics - Theory · Physics 2008-12-18 Brenda Chng , Robert Mann , Eugen Radu , Cristian Stelea

We consider the classical equations of the Einstein-Yang-Mills model in five space-time dimensions and in the presence of a cosmological constant. We assume that the fields do not depend on the extra dimension and that they are spherically…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , T. Delsate

We present arguments for the existence of charged, rotating black holes with equal-magnitude angular momenta in an odd number of dimensions $D\geq 5$. These solutions posses a regular horizon of spherical topology and approach…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jutta Kunz , Francisco Navarro-Lerida , Eugen Radu
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