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The no-hair theorem postulates that the only externally observable properties of a black hole are its mass, its electric charge, and its angular momentum. In scalar-tensor theories of gravity, a matter distribution around a black hole can…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Tomi Koivisto , Hannu J. Nyrhinen

It has been found that the states of the 2-charge extremal D1-D5 system are given by smooth geometries that have no singularity and no horizon individually, but a `horizon' does arise after `coarse-graining'. To see how this concept extends…

High Energy Physics - Theory · Physics 2008-11-26 Samir D. Mathur , Ashish Saxena , Yogesh K. Srivastava

We construct charged soliton solutions around spherical charged black holes with no angular momentum in asymptotically flat spacetime. These solutions are non-linear generalizations of charged scalar clouds, dubbed Q-ball hair or Q-clouds,…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Jeong-Pyong Hong , Motoo Suzuki , Masaki Yamada

We study the nonlinear stability of the Cauchy horizon in the interior of extremal Reissner-Nordstr\"om black holes under spherical symmetry. We consider the Einstein-Maxwell-Klein-Gordon system such that the charge of the scalar field is…

General Relativity and Quantum Cosmology · Physics 2019-05-15 Dejan Gajic , Jonathan Luk

We investigate the superhorizon behavior of scalar hair sourced by black holes in de Sitter spacetime in the linearly coupled shift-symmetric scalar-Gauss-Bonnet theory. Working in the test-field regime, we show that this hair exhibits both…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Dražen Glavan , Darío Jaramillo-Garrido

We study the evolution of nonlinear superhorizon perturbations in a universe dominated by a complex scalar field. The analysis is performed adopting the gradient expansion approach, in the constant mean curvature slicing. We derive general…

General Relativity and Quantum Cosmology · Physics 2021-10-18 Luis E. Padilla , Juan Carlos Hidalgo , Darío Núñez

Linear perturbations of extremal black holes exhibit the Aretakis instability, in which higher derivatives of a scalar field grow polynomially with time along the event horizon. This suggests that higher derivative corrections to the…

High Energy Physics - Theory · Physics 2018-01-17 Shahar Hadar , Harvey S. Reall

An electrically charged black hole solution with scalar hair in four dimensions is presented. The self-interacting scalar field is real and it is minimally coupled to gravity and electromagnetism. The event horizon is a surface of negative…

High Energy Physics - Theory · Physics 2008-11-26 Cristian Martinez , Ricardo Troncoso

We consider Einstein gravity minimally coupled to a scalar field with a given potential in general dimensions. We obtain large classes of static hairy planar black holes which are asymptotic to AdS space-times. In particular, for a special…

High Energy Physics - Theory · Physics 2016-04-29 Zhong-Ying Fan , Bin Chen

We study a family of four-dimensional, asymptotically flat, charged black holes that develop (charged) scalar hair as one increases their charge at fixed mass. Surprisingly, the maximum charge for given mass is a nonsingular hairy black…

High Energy Physics - Theory · Physics 2022-02-02 Oscar J. C. Dias , Gary T. Horowitz , Jorge E. Santos

Analyzing exact solutions of the Einstein-Maxwell equations in the Kerr-Schild formalism we show that black hole horizon is instable with respect to electromagnetic excitations. Contrary to perturbative smooth harmonic solutions, the exact…

General Relativity and Quantum Cosmology · Physics 2010-03-18 Alexander Burinskii

In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner-Nordstr\"om family of black holes in the spherically symmetric Einstein-Maxwell-neutral scalar field model, up to and including the event…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Yannis Angelopoulos , Christoph Kehle , Ryan Unger

A scalar field non-minimally coupled to certain geometric [or matter] invariants which are sourced by [electro]vacuum black holes (BHs) may spontaneously grow around the latter, due to a tachyonic instability. This process is expected to…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Yves Brihaye , Carlos Herdeiro , Eugen Radu

The theory of $f(R)$ gravity with constant curvature (i.e. constant scalar curvature) admits rotating and charged black hole solutions obtained from the Kerr-Newman-(A)dS metrics of general relativity through appropriate rescalings of the…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Alikram N. Aliev , Göksel Daylan Esmer

We study spontaneous scalarization of electrically charged extremal black holes in $D\geq 4$ spacetime dimensions. Such a phenomenon is caused by the symmetry breaking due to quartic interactions of the scalar -- Higgs potential and…

High Energy Physics - Theory · Physics 2022-08-10 Alessio Marrani , Olivera Miskovic , Paula Quezada

In mimetic gravity, we derive $D$-dimension charged black hole solutions having flat or cylindrical horizons with zero curvature boundary. The asymptotic behaviours of these black holes behave as (A)dS. We study both linear and nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-02-06 G. G. L. Nashed , W. El Hanafy , Kazuharu Bamba

In the present work, quasilocal Brown-York charges are derived that coincide in the large sphere limit with the conserved supertranslation hair and superrotation charges introduced by Hawking, Perry and Strominger in [45, 46]. Given these…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Albert Huber

We study the instability of near extremal and extremal four-dimensional AdS charged hairy black hole to radial neutral massive and charged massless scalar field perturbations. We solve the scalar field equation by using the improved…

General Relativity and Quantum Cosmology · Physics 2017-04-05 P. A. González , Eleftherios Papantonopoulos , Joel Saavedra , Yerko Vásquez

The extendibility of spacetime and the existence of weak solutions to the Einstein field equations beyond Cauchy horizons, is a crucial ingredient to examine the limits of General Relativity. Strong Cosmic Censorship serves as a firewall…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

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
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