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We identify a set of Hertz potentials for solutions to the vector wave equation on black hole spacetimes. The Hertz potentials yield Lorenz gauge electromagnetic vector potentials that represent physical solutions to the Maxwell equations,…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Barry Wardell , Chris Kavanagh

We construct black hole solutions to Einstein-Born-Infeld gravity with a cosmological constant. Since an elliptic function appears in the solutions for the metric, we construct horizons numerically. The causal structure of these solutions…

High Energy Physics - Theory · Physics 2008-11-26 Sharmanthie Fernando , Don Krug

Charged Black holes in Gauss-Bonnet extended gravity are studied. The electromagnetic field is coupled non-minimally, as in U(2,2) Chern-Simons theory. We find that the geometrical properties of the solution exhibit ``phase transitions" as…

High Energy Physics - Theory · Physics 2010-11-19 Maximo Banados

We investigate higher dimensional Robinson-Trautman spacetimes with an electromagnetic field aligned with the hypersurface orthogonal, non-shearing, expanding geodesic null congruence. After integrating the system of Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcello Ortaggio , Jiri Podolsky , Martin Zofka

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

A Friedman-Robertson-Walker cosmology arising from a five-dimensional Chern-Simons (CS) theory for the group S0(1,5) coupled to matter is considered as an alternative model for dark energy and matter. The four-dimensional reduction…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luis F. Urrutia

We find an exact spherically symmetric regular Bardeen-like solutions by considering the coupling between Einstein-Gauss-Bonnet theory and nonlinear electrodynamics (NED) in five-dimensional spacetime. These solutions, with an additional…

General Relativity and Quantum Cosmology · Physics 2019-11-26 Dharm Veer Singh , Sushant G. Ghosh , Sunil D. Maharaj

We construct static and spherically symmetric generalizations of the Schwarzschild- and Reissner-Nordstr\"om-(Anti-)de Sitter (RN-(A)dS) black-hole solutions in four-dimensional Einsteinian cubic gravity (ECG). The solutions are determined…

High Energy Physics - Theory · Physics 2017-01-24 Pablo Bueno , Pablo A. Cano

In addition to curvature singularities, electrovacuum black holes in general relativity exhibit thermodynamic singularities. These so-called Davies' points occur at nonextremal values of charge and spin where the heat capacity diverges and…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Arthur G. Suvorov , Pedro Bargueño

We present nonuniform vacuum black strings in five and six spacetime dimensions. The conserved charges and the action of these solutions are computed by employing a quasilocal formalism. We find qualitative agreement of the physical…

High Energy Physics - Theory · Physics 2009-11-11 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

We consider non-linear electrodynamics (NED) minimally coupled to general relativity. We derive novel electrically charged, spherically symmetric, black-hole solutions having, for some set of parameters, all their NED fields (the electric…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Mustapha Azreg-Aïnou

We study charged particle motion in weakly charged higher dimensional black holes. To describe the electromagnetic field we use a test field approximation and use the higher dimensional Kerr-NUT-(A)dS metric as a background geometry. It is…

High Energy Physics - Theory · Physics 2011-02-03 Valeri P. Frolov , Pavel Krtous

We present black hole type solutions in the scalar-tensor theory with nonminimal derivative coupling to the Einstein tensor. The effects of the nonminimal derivative coupling appear in the large scales, while the solutions approach those in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Masato Minamitsuji

The investigation of gravity in higher-dimensional spacetime has transitioned from a mathematical curiosity to a fundamental framework in theoretical physics, catalyzed by the dimensional requirements of String theory and M-theory. In this…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Chen-Hao Hao , Jiliang Jing , Jieci Wang

A new class of analytic charged spherically symmetric black hole solutions, which behave asymptotically as flat or (A)dS spacetimes, is derived for specific classes of $f(R)$ gravity, i.e., $f(R)=R-2\alpha\sqrt{R}$ and…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Gamal G. L. Nashed , Salvatore Capozziello

We present various supergravity black holes of different dimensions with some U(1) charges set equal in a simple, common form. Black hole solutions of seven dimensional U(1)^2 gauged supergravity with three independent angular momenta and…

High Energy Physics - Theory · Physics 2008-11-26 David D. K. Chow

We study exact static spherically symmetric vacuum solutions in generic six-derivative gravity (i.e., without assuming specific relations between the coupling constants). Using modified Schwarzschild coordinates, we systematically classify…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Breno L. Giacchini , Ivan Kolář

Exact black hole solutions of the five dimensional heterotic $S$-$T$-$U$ model including all perturbative quantum corrections and preserving $1/2$ of $N=2$ supersymmetry are studied. It is shown that the quantum corrections yield a bound on…

High Energy Physics - Theory · Physics 2009-10-31 Ingo Gaida

We investigate quasitopological black holes in $(2+1)$ dimensions in the context of electromagnetic-generalized-quasitopological-gravities (EM-GQT). For three different families of geometries of quasitopological nature, we study the causal…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Jeferson de Oliveira , R. D. B. Fontana , A. B. Pavan

We elaborate on a model of nonassociative and noncommutative Einstein--Dirac-Maxwell, EDM, theory determined by star product R-flux deformations in string theory. Solutions for nonassociative EDM systems and physical properties not studied…

High Energy Physics - Theory · Physics 2024-10-08 L. Bubuianu , J. O. Seti , S. Vacaru , E. V. Veliev