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We show that the monopole scalar charge of black holes in Einstein--Maxwell--dilaton theory is proportional to the electric potential at the event horizon, with a proportionality factor given by (minus) the scalar coupling constant. We also…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Costantino Pacilio

In this paper, we focus on massive Einstein-dilaton gravity including the coupling of dilaton scalar field to massive graviton terms, and then derive static and spherically symmetric solutions of charged dilatonic black holes in four…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Lina Zhang , Qiyuan Pan , Bo Liu , Ming Zhang , De-Cheng Zou

We develop a covariant differential-form framework to define scalar charges for stationary, asymptotically flat black holes in $4$--dimensional Einstein-scalar-Gauss-Bonnet gravity with a general scalar coupling function. Contracting the…

High Energy Physics - Theory · Physics 2026-04-21 Romina Ballesteros , Marcela Cárdenas , Eric Lescano

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

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 numerically construct static and spherically symmetric electrically charged black hole solutions in Einstein-Born-Infeld gravity with massive dilaton. The numerical solutions show that the dilaton potential allows many more black hole…

High Energy Physics - Theory · Physics 2009-11-07 Stoytcho S. Yazadjiev , Plamen P. Fiziev , Todor L. Boyadjiev , Michail D. Todorov

Charge-dependent scalarization of the Einstein-Euler-Heisenberg (EEH) black hole is carried out in the EEH-scalar theory by introducing an exponential scalar coupling with $\alpha$ coupling constant to the Maxwell and nonlinear…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Lina Zhang , Yun Soo Myung , De-Cheng Zou , Chao-Ming Zhang

In the present paper we consider multi-scalar extension of Einstein-Gauss-Bonnet gravity. We focus on multi-scalar Einstein-Gauss-Bonnet models whose target space is a three-dimensional maximally symmetric space, namely either…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Daniela D. Doneva , Kalin V. Staykov , Stoytcho S. Yazadjiev , Radostina Z. Zheleva

We show that four-dimensional Einstein-Maxwell-Dilaton-Gauss-Bonnet gravity admits asymptotically flat black hole solutions with a degenerate event horizon of the Reissner-Nordstr\"om type $AdS_2\times S^2$. Such black holes exist for the…

High Energy Physics - Theory · Physics 2008-11-26 Chiang-Mei Chen , Dmitri V. Gal'tsov , Dmitry G. Orlov

In this paper, we focus on massive Einstein-dilaton gravity including the coupling of dilaton scalar field to massive graviton terms, and then derive static and spherically symmetric solutions of dilatonic black holes in four dimensional…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Bo Liu , Rui-Hong Yue , De-Cheng Zou , Lina Zhang , Zhan-Ying Yang , Qiyuan Pan

We study black holes in shift-symmetric scalar Gauss-Bonnet gravity extended by a cubic Galileon interaction with a distinct energy scale. Introducing this hierarchy profoundly modifies the theory's phenomenology. The cubic interaction…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Farid Thaalba , Leonardo Gualtieri , Thomas P. Sotiriou , Enrico Trincherini

We investigate extremal charged black hole solutions in the four-dimensional string frame Gauss-Bonnet gravity with the Maxwell field and the dilaton. Without curvature corrections, the extremal electrically charged dilatonic black holes…

High Energy Physics - Theory · Physics 2009-04-17 Dmitri V. Gal'tsov , Evgeny A. Davydov

Recently new scalarized black hole solutions were constructed in the extended scalar-tensor-Gauss-Bonnet gravity, where the scalar field is sourced by the curvature of the spacetime via the Gauss-Bonnet invariant. A natural extension of…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Daniela D. Doneva , Stella Kiorpelidi , Petya G. Nedkova , Eleftherios Papantonopoulos , Stoytcho S. Yazadjiev

We investigate unattractor behavior in non-extremal black holes in Einstein-Born-Infeld-Dilaton theory of gravity in four-dimensional asymptotically flat spacetime. We obtain solutions which are non-singular near the horizon and dependent…

High Energy Physics - Theory · Physics 2007-06-15 Sangheon Yun

In this paper, we find new scalarized black holes by coupling a scalar field with the Gauss-Bonnet invariant in Teleparallel gravity. The Teleparallel formulation of this theory uses torsion instead of curvature to describe the…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Sebastian Bahamonde , Daniela D. Doneva , Ludovic Ducobu , Christian Pfeifer , Stoytcho S. Yazadjiev

We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in $(2+1)$ dimensions, in which the scalar field couples to gravity in a non-minimal way, and it also couples to itself with the self-interacting potential solely…

General Relativity and Quantum Cosmology · Physics 2013-06-12 Wei Xu , Liu Zhao

We propose a new model of black hole spontaneous scalarization that combines a scalar--Gauss--Bonnet interaction with a non--minimal coupling to a U(1) gauge field (a dark photon or an electromagnetic field). This construction generalizes…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Zakaria Belkhadria , Salvatore Mignemi

We consider the Einstein-Gauss-Bonnet gravity with a negative cosmological constant together with a source given by a scalar field nonminimally coupled in arbitrary dimension D. For a certain election of the cosmological and Gauss-Bonnet…

High Energy Physics - Theory · Physics 2013-11-20 Moises Bravo Gaete , Mokhtar Hassaine

In the present paper we consider the extended scalar-tensor-Gauss-Bonnet gravity with a massive scalar field. We prove numerically the existence of Gauss-Bonnet black holes for three different forms of the coupling function including the…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Daniela D. Doneva , Kalin V. Staykov , Stoytcho S. Yazadjiev

In this work, we investigate the $n$-dimensional charged static black hole solutions in the Einstein-\ae ther theory. By taking the metric parameter $k$ to be $1,0$, and $-1$, we obtain the spherical, planar, and hyperbolic spacetimes…

General Relativity and Quantum Cosmology · Physics 2019-01-11 Kai Lin , Fei-Hung Ho , Wei-Liang Qian
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