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The Kerr-Newman black hole solution can be constructed straightforwardly as the unique solution to the boundary value problem of the Einstein-Maxwell equations corresponding to an asymptotically flat, stationary and axisymmetric…

General Relativity and Quantum Cosmology · Physics 2015-02-12 Reinhard Meinel , René Richter

In this work we find charged slowly rotating solutions in the four-dimensional Einstein-power-Maxwell non-linear electrodynamics assuming a negative cosmological constant. By solving the system of coupled field equations explicitly we…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Grigoris Panotopoulos , Angel Rincon

A generation procedure, based on the 5-dimensional covariance of the Kaluza-Klein theory, is developed. The procedure allows one to obtain exact solutions of the 4-dimensional Einstein equations with electromagnetic and scalar fields from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergey S. Kokarev

A class of four dimensional spherically symmetric and static geometries with constant topological Euler density is studied. These geometries are shown to solve the coupled Einstein-Maxwell system when non-linear Born-Infeld-like…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Pedro Bargueño , Elias C. Vagenas

We study various mathematical aspects of the charged rotating black hole with two equal-magnitude angular momenta in five dimensions. We introduce a coordinate system that is regular on the horizon and in which Einstein-Maxwell equations…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Markus B. Fröb , Igor Khavkine , Tomáš Málek , Vojtěch Pravda

We study Einstein-Maxwell theory in $D \geq 3$ spacetime dimensions including all Lorentz-invariant parity-even four-derivative couplings. Building on the results of arXiv:2312.11610, we consider static, charged, asymptotically flat black…

High Energy Physics - Theory · Physics 2025-10-20 Kiril Hristov , Peng-Ju Hu , Yi Pang

Einstein-Gauss-Bonnet gravity in five-dimensional spacetime provides an excellent example of a theory that, while including higher-order curvature corrections to General Relativity, still shares many of its features, such as second-order…

High Energy Physics - Theory · Physics 2015-06-05 Fernando Izaurieta , Eduardo Rodríguez

We find new solutions to the five-dimensional Einstein-Maxwell-dilaton theory with cosmological constant where the dilaton field couples to the electromagnetic field as well as to the cosmological term with two different coupling constants.…

General Relativity and Quantum Cosmology · Physics 2018-08-14 A. M. Ghezelbash

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

We discuss simple vacuum solutions to the Einstein Equations in five dimensional space-times compactified in two different ways. In such spaces, one black hole phase and more then one black string phase may exist. Several old metrics are…

High Energy Physics - Theory · Physics 2009-11-11 Mihai Bondarescu

In this thesis, we wish to examine the black-hole solutions of modified gravity theories inspired by String Theory or Cosmology. Namely, these modifications will take the guise of additional gauge and scalar fields for the so-called…

High Energy Physics - Theory · Physics 2010-11-29 B. Goutéraux

We use a recent implementation of the large $D$ expansion in order to construct the higher-dimensional Kerr-Newman black hole and also new charged rotating black bar solutions of the Einstein-Maxwell theory, all with rotation along a single…

High Energy Physics - Theory · Physics 2022-03-07 Tomas Andrade , Roberto Emparan , David Licht

We present a family of extensions of spherically symmetric Einstein-Lanczos-Lovelock gravity. The field equations are second order and obey a generalized Birkhoff's theorem. The Hamiltonian constraint can be written in terms of a…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Gabor Kunstatter , Hideki Maeda , Tim Taves

We review the timelike dimensional reduction of a class of five-dimensional theories that generalises 5D, N = 2 supergravity coupled to vector multiplets. As an application we construct instanton solutions to the four-dimensional Euclidean…

High Energy Physics - Theory · Physics 2015-06-11 Thomas Mohaupt , Owen Vaughan

We construct a Lagrangian and Hamiltonian formulation for charged black holes in a d-dimensional maximally symmetric spherical space. By considering first new variables that give raise to an interesting dimensional reduction of the problem,…

General Relativity and Quantum Cosmology · Physics 2013-06-13 J. A. Nieto , E. A. Leon , V. M. Villanueva

A (2+1)-static black hole solution with a nonlinear electric field is derived. The source to the Einstein equations is a nonlinear electrodynamics, satisfying the weak energy conditions, and it is such that the energy momentum tensor is…

High Energy Physics - Theory · Physics 2009-10-31 M. Cataldo , N. Cruz , S. del Campo , A. Garcia

We study the 5D static Einstein-Maxwell equations with a dilaton field. We construct an infinte number of solutions by using a soliton technique. We study the rod structure of 2-soliton solution and show the 5D dilatonic black ring and…

High Energy Physics - Theory · Physics 2009-06-25 Takahiro Azuma , Takao Koikawa

We study a method to solve stationary axisymmetric vacuum Einstein equations numerically. As an illustration, the five-dimensional doubly spinning black rings that have two independent angular momenta are formulated in a way suitable for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideaki Kudoh

In a previous paper arXiv:0707.2775 [gr-qc] we showed that stationary asymptotically flat vacuum black hole solutions in 5 dimensions with two commuting axial Killing fields can be completely characterized by their mass, angular momentum, a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands , Stoytcho Yazadjiev

In recent works, a framework has been developed to describe (quantum) deformed, spherically symmetric and static black holes in four dimensions. The key idea of this so-called Effective Metric Description (EMD) is to parametrise…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Stefan Hohenegger