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Based on the conformal energy theorem we prove the uniqueness theorem for static higher dimensional electrically and magnetically charged black holes being the solution of Einstein (n-2)-gauge forms equations of motion. Black hole spacetime…

High Energy Physics - Theory · Physics 2009-11-10 Marek Rogatko

We propose a general framework for the study of asymptotically flat spinning dyonic {\it extremal} black holes (eBHs) in $D=4$ Einstein-Maxwell-dilaton theory. Restricting to the stringy value $\gamma=1$ of the dilaton coupling constant, we…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Jose Luis Blázquez-Salcedo , Carlos Herdeiro , Eugen Radu , Etevaldo dos Santos Costa Filho , Kunihito Uzawa

Static spherically symmetric asymptotically flat solutions to the U(1) Born-Infeld theory coupled to gravity and to a dilaton are investigated. The dilaton enters in such a way that the theory is $SL(2,R)$- symmetric for a unit value of the…

High Energy Physics - Theory · Physics 2009-10-31 Gerard Clement , Dmitri Gal'tsov

Using Ernst formalism, stationary axisymmetric black hole solution in Einstein-dark matter-dark energy gravity has been elaborated. The dark sector was chosen as dark photon concept, where an auxiliary U(1)-gauge field coupled to ordinary…

General Relativity and Quantum Cosmology · Physics 2024-07-09 Marek Rogatko

Considering a generalised action for Einstein Maxwell theory in four dimensions coupled to scalar and pseudo-scalar fields, the thermodynamic properties of asymptotically flat black holes solutions in such a background are investigated.…

High Energy Physics - Theory · Physics 2008-12-30 Tanwi Ghosh , Soumitra SenGupta

We consider a class of static and spherically symmetric black hole geometries endowed with a photon sphere. On the one hand, we show that close to the photon sphere, a massless scalar field theory exhibits a simple dynamical…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Bernard Raffaelli

We obtain the general static, spherically symmetric solution for the Einstein-Maxwell-dilaton system in four dimensions with a phantom coupling for the dilaton and/or the Maxwell field. This leads to new classes of black hole solutions,…

High Energy Physics - Theory · Physics 2009-11-06 Gerard Clement , Julio C. Fabris , Manuel Eleuterio Rodrigues

In the present paper we prove a classification (uniqueness) theorem for stationary, asymptotically flat black hole spacetimes with connected and non-degenerate horizon in 4D Einstein-Maxwell-dilaton theory with an arbitrary dilaton coupling…

High Energy Physics - Theory · Physics 2011-02-01 Stoytcho S. Yazadjiev

Static spherically symmetric black hole solution is obtained in the framework of Einstein-dilaton theory with nonlinear Maxwell and Yang-Mills fields of power-law type. It is observed that black hole might have two horizons similarly as it…

High Energy Physics - Theory · Physics 2021-01-13 M. M. Stetsko

Adapting Israel's proof of static black hole uniqueness, we show that the Schwarzschild spacetime is the only static vacuum asymptotically flat spacetime that possesses a suitably defined photon sphere.

Differential Geometry · Mathematics 2014-09-05 Carla Cederbaum

We study 4-dimensional asymptotically flat electrostatic electro-vacuum spacetimes with a connected black hole, photon sphere, or equipotential photon surface inner boundary. Our analysis, inspired by the potential theory approach by…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Stefano Borghini , Carla Cederbaum , Albachiara Cogo

Einstein-Maxwell-dilaton theory with non-trivial dilaton potential is known to admit asymptotically flat and (Anti-)de Sitter charged black hole solutions. We investigate the conditions for the presence of horizons as function of the…

High Energy Physics - Theory · Physics 2022-08-26 Karim Benakli , Carlo Branchina , Gaëtan Lafforgue-Marmet

We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear…

High Energy Physics - Theory · Physics 2008-11-26 Ahmad Sheykhi

We prove the uniqueness theorem for stationary axisymmetric black hole solution in Einstein-Maxwell-axion-dilaton gravity being the low-energy limit of the heterotic string theory. We consider both non-degenerate and extremal Kerr-Sen black…

High Energy Physics - Theory · Physics 2011-04-08 Marek Rogatko

A sigma model formulation for static dilaton black holes with N Abelian gauge fields was presented. We proved uniqueness of static asymptotically flat spacetimes with non-degenerate black holes for the considered theory.

High Energy Physics - Theory · Physics 2009-11-07 Marek Rogatko

A recently developed topological approach offers novel insights into photon spheres, which are fundamental to the formation of black hole shadows. In this study, we extend this topological analysis to higher-dimensional, static, spherically…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Jun-Lei Chen , Shan-Ping Wu , Shao-Wen Wei

We find broad classes of exact 4-dimensional asymptotically flat black hole solutions in Einstein-Maxwell theories with a non-minimally coupled dilaton and its non-trivial potential. We consider a few interesting limits, in particular, a…

High Energy Physics - Theory · Physics 2013-12-02 Andres Anabalon , Dumitru Astefanesei , Robert Mann

We study generic Einstein-Maxwell-Kalb-Ramond-dilaton actions, and derive conditions under which they give rise to static, spherically symmetric black hole solutions. We obtain new asymptotically flat and non-flat black hole solutions which…

High Energy Physics - Theory · Physics 2009-11-11 Sourav Sur , Saurya Das , Soumitra SenGupta

A static black hole with spherical symmetry is obtained and examined in the framework of Einstein-Yang-Mills-dilaton theory. The obtained black hole solution allowed us to derive and investigate entropy, temperature and heat capacity. To…

High Energy Physics - Theory · Physics 2020-07-01 M. M. Stetsko

The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all black-hole-equilibrium configurations are…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Piotr T. Chruściel , João Lopes Costa , Markus Heusler