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We study influence of scalar fields on Nonlinear Electrodynamics spacetimes. The investigation is carried out using both test and gravitating scalar fields. After revisiting Einstein-Maxwell scalar field solutions we focus on analytic…

General Relativity and Quantum Cosmology · Physics 2020-06-15 T. Tahamtan

A no-hair theorem for spherical black holes in scalar-tensor gravity is presented. Contrary to the existing theorems, which are proved in the Einstein conformal frame, this proof is performed entirely in the Jordan frame. The theorem is…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Valerio Faraoni

We study the consistency of Scalar Gauss-Bonnet Gravity, a generalization of General Relativity where black holes can develop non-trivial hair by the action of a coupling $F(\Phi){\cal G}$ between a function of a scalar field and the…

General Relativity and Quantum Cosmology · Physics 2022-03-21 Mario Herrero-Valea

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

We construct static, spherically symmetric black hole solutions in scalar extended ghost-free massive gravity and show the existence of hairy black holes in this class of extension. While the existence seems to be a generic feature, we…

High Energy Physics - Theory · Physics 2016-01-08 Andrew J. Tolley , De-Jun Wu , Shuang-Yong Zhou

Scalar fields coupled to three-dimensional gravity are considered. We uncover a scaling symmetry present in the black hole reduced action, and use it to prove a Smarr formula valid for any potential. We also prove that non-rotating hairy…

High Energy Physics - Theory · Physics 2013-05-29 Maximo Banados , Stefan Theisen

Twenty years have passed since the discovery of the accelerated expansion of the Universe, reviving the interest for alternative theories of gravity. Adding a scalar degree of freedom to the usual metric of general relativity is one of the…

General Relativity and Quantum Cosmology · Physics 2018-10-11 Antoine Lehébel

We investigate spherically symmetric and static gravitational fields representing black hole configurations in the framework of metric-affine gauge theories of gravity (MAG) in the presence of different matter fields. It is shown that in…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Eloy Ayón-Beato , Alberto García , Alfredo Macías , Hernando Quevedo

The specific nonlinear vector $\sigma$-model coupled to Einstein gravity is investigated. The model arises in the studies of the gravitating matter in non-commutative geometry. The static spherically symmetric spacetimes are identified by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Klimcik , P. Kolnik , A. Pompos

We show that the integral method used to prove the no-hair theorem for Black Holes (BH's) in spherically symmetric and static spacetimes within the framework of general relativity with matter composed by a complex-valued scalar-field does…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Gustavo Garcia , Marcelo Salgado

The simplicity of black holes, as characterized by no-hair theorems, is one of the most important mathematical results in the framework of general relativity. Are these theorems unique to black hole spacetimes, or do they also constrain the…

General Relativity and Quantum Cosmology · Physics 2019-06-20 Carlos Barceló , Raúl Carballo-Rubio , Stefano Liberati

We investigate timelike geodesics in asymptotically flat regular black holes supported by a phantom scalar field characterized by a scalar charge $A$. This parameter removes the central singularity and continuously deforms the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-04-23 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

In a recent paper, Hod started a study on no scalar hair theorem for asymptotically flat spherically symmetric neutral horizonless reflecting compact stars. In fact, Hod's approach only rules out massive scalar fields. In the present paper,…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Yan Peng

We present explicit black holes endowed with primary scalar hair within the shift-symmetric subclass of Beyond Horndeski theories. These solutions depend, in addition to the conventional mass parameter, on a second free parameter encoding…

General Relativity and Quantum Cosmology · Physics 2024-02-02 Athanasios Bakopoulos , Christos Charmousis , Panagiota Kanti , Nicolas Lecoeur , Theodoros Nakas

We extend the Wald cosmic no-hair theorem to a general class of scalar-tensor nonminimally coupled theories of gravity where ordinary matter is also present in the form of a perfect fluid. We give a set of conditions for obtaining a de…

Astrophysics · Physics 2008-02-03 Salvatore Capozziello , Ruggiero de Ritis

We consider a generic scalar-tensor theory involving a shift-symmetric scalar field and minimally coupled matter fields. We prove that the Noether current associated with shift-symmetry vanishes in regular, spherically symmetric and static…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Antoine Lehébel , Eugeny Babichev , Christos Charmousis

Black holes have a unique sensitivity to the presence of ultralight matter fields or modifications of the underlying theory of gravity. In the present paper we combine both features by studying an ultralight, dynamical scalar field that is…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Chloe Richards , Alexandru Dima , Helvi Witek

An old result ({\tt astro-ph/9905303}) by Jacobson implies that a black hole with Schwarzschild radius $r_s$ acquires scalar hair, $Q \propto r_s^2 \mu$, when the (canonically normalized) scalar field in question is slowly time-dependent…

General Relativity and Quantum Cosmology · Physics 2015-06-03 M. W. Horbatsch , C. P. Burgess

We study scalar fields in a black hole background and show that, when the scalar is suitably coupled to curvature, rapid rotation can induce a tachyonic instability. This instability, which is the hallmark of spontaneous scalarization in…

General Relativity and Quantum Cosmology · Physics 2020-12-07 Alexandru Dima , Enrico Barausse , Nicola Franchini , Thomas P. Sotiriou

We present a method to analyse black hole hair in the spherical symmetric sector of the Lovelock theory in arbitrary dimensions that is an alternative to solving the equations of motion in their complete form. We explicitly show that the…

General Relativity and Quantum Cosmology · Physics 2014-05-07 Jozef Skakala , S. Shankaranarayanan
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