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The asymptotically flat, electrically charged, rotating black holes (BHs) in Einstein-Maxwell-dilaton (EMd) theory are known in closed form for \textit{only} two particular values of the dilaton coupling constant $\gamma$: the…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Carlos Herdeiro , Eugen Radu , Etevaldo dos Santos Costa Filho

We construct exact, time-dependent, black hole solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling, $a$. For $a=1$ this theory arises as the four-dimensional low-energy effective description of heterotic string…

High Energy Physics - Theory · Physics 2016-05-25 Pedro Aniceto , Paolo Pani , Jorge V. Rocha

We show that the general framework proposed in arXiv:1410.0581 for the study of asymptotically flat vacuum black objects with $k+1$ equal magnitude angular momenta in $D\geq 5$ spacetime dimensions (with $0\leq k\leq \big[\frac{D-5}{2}…

General Relativity and Quantum Cosmology · Physics 2016-05-31 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

A class of exact static spherically symmetric solutions of the Einstein-Maxwell gravity coupled to a massless scalar field has been obtained in harmonic coordinates of the Minkowski space-time. For each value of the coupling constant $a$,…

High Energy Physics - Theory · Physics 2015-06-26 Slava G. Turyshev

We consider Einstein-Maxwell-dilaton gravity with the non-minimal exponential coupling between the dilaton and the Maxwell field emerging from low energy heterotic string theory. The dilaton is endowed with a potential that originates from…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Dumitru Astefanesei , Jose Luis Blázquez-Salcedo , Carlos Herdeiro , Eugen Radu , Nicolas Sanchis-Gual

Einstein-Maxwell-dilaton theory is an interesting theory of gravity for studying scalar fields in the context of no-hair theorem. In this work, we consider static charged dilaton and charged, slowly rotating dilaton black holes in…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Mohaddese Heydari-fard , Malihe Heydari-Fard , Hamid Reza Sepangi

We investigate the null geodesic flow and in particular the light rings (LRs), fundamental photon orbits (FPOs) and shadows of a black hole (BH) immersed in a strong, uniform magnetic field, described by the Schwarzschilld-Melvin…

General Relativity and Quantum Cosmology · Physics 2021-08-17 Haroldo C. D. Lima Junior , Pedro V. P. Cunha , Carlos A. R. Herdeiro , Luís C. B. Crispino

We prove uniqueness of static, asymptotically flat spacetimes with non-degenerate black holes for three special cases of Einstein-Maxwell-dilaton theory: For the coupling ``$\alpha = 1$'' (which is the low energy limit of string theory) on…

General Relativity and Quantum Cosmology · Physics 2013-09-02 Marc Mars , Walter Simon

We investigate time-dependent spherically symmetric solutions of the four-dimensional Einstein-Maxwell-axion-dilaton system, with the dilaton coupling that occurs in low-energy effective heterotic string theory. A class of…

High Energy Physics - Theory · Physics 2017-05-17 Pedro Aniceto , Jorge V. Rocha

Static spherically symmetric solutions of the Einstein-Maxwell gravity with the dilaton field are described. The solutions correspond to black holes and are generalizations of the previously known dilaton black hole solution. In addition to…

High Energy Physics - Theory · Physics 2008-11-26 Malik Rakhmanov

We give a general class of static, spherically symmetric, non-asymptotically flat and asymptotically non-(anti) de Sitter black hole solutions in Einstein-Maxwell-Dilaton (EMD) theory of gravity in 4-dimensions. In this general study we…

General Relativity and Quantum Cosmology · Physics 2010-04-22 S. Habib Mazharimousavi , M. Halilsoy , I. Sakalli , O. Gurtug

We investigate continuously self-similar solutions of four-dimensional Einstein-Maxwell-dilaton theory supported by charged null fluids. We work under the assumption of spherical symmetry and the dilaton coupling parameter $a$ is allowed to…

High Energy Physics - Theory · Physics 2020-07-23 Pedro Aniceto , Jorge V. Rocha

We consider dilaton gravity theories in four spacetime dimensions parametrised by a constant $a$, which controls the dilaton coupling, and construct new exact solutions. We first generalise the C-metric of Einstein-Maxwell theory ($a=0$) to…

High Energy Physics - Theory · Physics 2014-11-18 Fay Dowker , Jerome P. Gauntlett , David A. Kastor , Jennie Traschen

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

Using the Schwarzschild coordinate frame for a static cyclic symmetric metric in 2 + 1 Einstein gravity coupled to a electric Maxwell field and a dilaton logarithmically depending on the radial coordinate in the presence of an exponential…

General Relativity and Quantum Cosmology · Physics 2014-12-19 A. A. Garcia-Diaz , G. Gutierrez Cano

Einstein-Maxwell-dilaton theory is an interesting and well-motivated theoretical laboratory to explore the impact of new fundamental degrees of freedom in the context of testing the no-hair conjecture, due to the existence of hairy black…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Richard Brito , Costantino Pacilio

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

In this paper, we generalize the Schwarzschild-Melvin solution within Einstein-Maxwell-dilaton theories to include non-null scalar charges, while remaining embedded in a magnetic or electric field \textit{\`a la Melvin}. We then use this…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Olivier Minazzoli , Maxime Wavasseur

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

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
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