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Einstein-Gauss-Bonnet-gravity (EGB) coupled minimally to a $U(1)$ gauged, massive scalar field possesses -- for appropriate choices of the $U(1)$ charge -- black hole solutions that carry charged scalar hair if the frequency of the harmonic…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Yves Brihaye , Betti Hartmann

We consider a gravitating system consisting of a scalar field minimally coupled to gravity with a self-interacting potential and an U(1) electromagnetic field. Solving the coupled Einstein-Maxwell-scalar system we find exact hairy charged…

General Relativity and Quantum Cosmology · Physics 2015-06-22 P. A. Gonzalez , Eleftherios Papantonopoulos , Joel Saavedra , Yerko Vasquez

In the present review, we consider the status of the classification of the vacuum, stationary and asymptotically flat black holes in scalar-tensor gravity. Contrary to the similar problem in general relativity, the black hole classification…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Stoytcho Yazadjiev , Daniela Doneva

By using the Taylor series method and the solution-generating method, we construct exact black hole solutions with minimally coupled scalar field. We find that the black hole solutions can have many hairs except for the physical mass. These…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Changjun Gao , Jianhui Qiu

We study the existence of stationary black holes with a non-canonical scalar field as a matter source. We prove a simple black hole no-hair theorem which rules out the existence of asymptotically flat black holes which are static or…

General Relativity and Quantum Cosmology · Physics 2015-08-18 Alexander A. H. Graham , Rahul Jha

We show that, unlike vacuum General Relativity, Einstein-scalar theories allow balanced static, neutral, asymptotically flat, double-black hole solutions, for scalar field models minimally coupled to gravity, with appropriate…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Carlos A. R. Herdeiro , Eugen Radu

A new no-hair theorem is formulated which rules out a very large class of non-minimally coupled finite scalar dressing of an asymptotically flat, static, and spherically symmetric black-hole. The proof is very simple and based in a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Alberto Saa

We obtain scalar hairy black holes from Einstein-Maxwell-conformally coupled scalar (EMCS) theory with the scalar coupling parameter $\alpha$ to the Maxwell term. In case of $\alpha=0$, the $\alpha=0$ EMCS theory provides constant (charged)…

General Relativity and Quantum Cosmology · Physics 2020-03-04 De-Cheng Zou , Yun Soo Myung

We consider a gravitating system consisting of a scalar field minimally coupled to gravity with a self-interacting potential and a U(1) nonlinear electromagnetic field. Solving analytically and numerically the coupled system for both…

High Energy Physics - Theory · Physics 2017-01-04 José O. Barrientos , P. A. González , Yerko Vásquez

We prove a no Cauchy horizon theorem for general nonlinear electrodynamics black holes with charged scalar hairs. By constructing a radially conserved charged, we show that there is no inner Cauchy horizon for both spherical and planar…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Yu-Sen An , Li Li , Fu-Guo Yang

Recently, a new nonlinear mechanism for black hole scalarization, different from the standard spontaneous scalarization, was demonstrated to exist for scalar Gauss-Bonnet theories in which no tachyonic instabilities can occur. Thus…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Kalin V. Staykov , Daniela D. Doneva

We construct two solutions of the minimally coupled Einstein-scalar field equations, representing regular deformations of Schwarzschild black holes by a self-interacting, static, scalar field. One solution features an exponentially decaying…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Helge Dennhardt , Olaf Lechtenfeld

The vector-tensor Horndeski theory is supplemented by a real, massless scalar field non-minimally coupled to the Horndeski interaction term. The generic dyonic Reissner-Nordstrom solutions characterized by electric and magnetic charges,…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Y. Brihaye , Y. Verbin

We construct spin-induced scalarized black hole solutions in a class of Einstein-Maxwell-scalar models, where a scalar field is non-minimally coupled to the electromagnetic field. Our results show that scalar hair develops only for rapidly…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Lang Cheng , Guangzhou Guo , Peng Wang , Haitang Yang

We study 4-dimensional charged and static black holes in a generalized scalar-tensor gravity model, in which a shift symmetry for the scalar field exists. For vanishing scalar field the solution corresponds to the Reissner-Nordstr\"om (RN)…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Yves Brihaye , Betti Hartmann

In the present paper we study the scalar sector of the quasinormal modes of charged general relativistic, static and spherically symmetric black holes coupled to nonlinear electrodynamics and embedded in a class of scalar-tensor theories.…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Daniela D. Doneva , Stoytcho S. Yazadjiev , Kostas D. Kokkotas , Ivan Zh. Stefanov

We consider the status of black hole solutions with non-trivial scalar fields but no gauge fields, in four dimensional asymptotically flat space-times, reviewing both classical results and recent developments. We start by providing a simple…

General Relativity and Quantum Cosmology · Physics 2018-12-20 Carlos A. R. Herdeiro , Eugen Radu

Stationary, asymptotically flat black holes in scalar-tensor theories of gravity are studied. It is shown that such black holes have no scalar hair and are the same as in General Relativity.

General Relativity and Quantum Cosmology · Physics 2013-03-05 Valerio Faraoni , Thomas P. Sotiriou

Recently, a no inner (Cauchy) horizon theorem for static black holes with non-trivial scalar hairs has been proved in Einstein-Maxwell-scalar theories. In this paper, we extend the theorem to the static black holes in…

High Energy Physics - Theory · Physics 2022-04-20 Deniz O. Devecioglu , Mu-In Park

In a recent Letter we have shown that in shift-symmetric Horndeski theory the scalar field is forced to obtain a nontrivial configuration in black hole spacetimes, unless a linear coupling with the Gauss-Bonnet invariant is tuned away. As a…

General Relativity and Quantum Cosmology · Physics 2016-02-12 Thomas P. Sotiriou , Shuang-Yong Zhou