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This work presents a new class of exact analytic rotating black hole solutions within five-dimensional generalized Proca theories. Through a Kerr-Schild ansatz where the Proca field is set along a null geodesic congruence, the non-linear…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Mokhtar Hassaine , Ulises Hernandez-Vera

We present a family of exact black-hole solutions on a static spherically symmetric background in second-order generalized Proca theories with derivative vector-field interactions coupled to gravity. We also derive non-exact solutions in…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Lavinia Heisenberg , Ryotaro Kase , Masato Minamitsuji , Shinji Tsujikawa

In the framework of a simple gravitational theory that contains a scalar field minimally coupled to gravity, we investigate the emergence of analytic black-hole solutions with non-trivial scalar hair of secondary type. Although it is…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Athanasios Bakopoulos , Theodoros Nakas

Numerical solutions for asymptotically flat rotating black holes in the cubic Galileon theory are presented. These black holes are endowed with a nontrivial scalar field and exhibit a non-Schwarzschild behaviour: faster than $1/r$…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Karim Van Aelst , Eric Gourgoulhon , Philippe Grandclément , Christos Charmousis

Inspired by possibility that the Schwarzschild black hole may not be the unique spherically symmetric vacuum solution to generalisations of general relativity, we consider black holes in pure fourth order higher derivative gravity treated…

High Energy Physics - Theory · Physics 2018-06-12 Kevin Goldstein , James Junior Mashiyane

In this work, we consider a very simple gravitational theory that contains a scalar field with its kinetic and potential terms minimally coupled to gravity, while the scalar field is assumed to have a coulombic form. In the context of this…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Athanasios Bakopoulos , Theodoros Nakas

General Relativity allows for a unique black hole solution, characterized by its mass M, angular momentum J, and electric charge Q. Black holes in General Relativity are thus said to have no hair, that is, no other independent physical…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Nicolas Lecoeur

We continue our study on the capabilities of present and future X-ray missions to test the nature of astrophysical black hole candidates via X-ray reflection spectroscopy and distinguish Kerr black holes from other solutions of…

General Relativity and Quantum Cosmology · Physics 2017-05-29 Menglei Zhou , Cosimo Bambi , Carlos A. R. Herdeiro , Eugen Radu

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

There exist well-known no-hair theorems forbidding the existence of hairy black hole solutions in general relativity coupled to a scalar conformal field theory in asymptotically flat space. Even in the presence of cosmological constant,…

High Energy Physics - Theory · Physics 2014-05-28 Gaston Giribet , Matias Leoni , Julio Oliva , Sourya Ray

We construct hairy black hole solutions in a particular set of tensor-multi-scalar theories of gravity for which the target-space admits a Killing vector field with periodic flow that is furthermore the generator of a one-parameter family…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

We introduce a systematic and direct procedure to generate hairy rotating black holes by deforming a spherically symmetric seed solution. We develop our analysis in the context of the gravitational decoupling approach, without resorting to…

General Relativity and Quantum Cosmology · Physics 2021-02-12 E. Contreras , J. Ovalle , R. Casadio

We study a simple theory based on general relativity, minimally coupled to a constrained scalar triplet and to an auxiliary non-propagating three-form sector. Within a spherically symmetric hedgehog ansatz, the theory admits a continuous…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Sebastian Bahamonde

Kerr black holes with scalar hair are solutions of the Einstein-Klein-Gordon field equations describing regular (on and outside an event horizon), asymptotically flat black holes with scalar hair (arXiv:1403.2757). These black holes…

General Relativity and Quantum Cosmology · Physics 2015-05-05 Carlos Herdeiro , Eugen Radu

We present a new rotating black hole solution to the Einstein equations as an extension of the Kerr spacetime. Interestingly, the solution we find may not be uniquely characterized by asymptotic parameters such as mass, angular momentum,…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Hyeong-Chan Kim , Wonwoo Lee

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 study Generalized Proca theories inspired by the recent regularised Proca theory of four-dimensional Gauss-Bonnet gravity. By abandoning the rigid constraints typically imposed by specific regularization schemes, we treat the…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Christos Charmousis , Pedro G. S. Fernandes , Mokhtar Hassaine

We derive exact, asymptotically flat black hole solutions of Einstein-scalar gravity sourced by a non trivial scalar field with $1/r$ asymptotic behaviour. They are determined using an ansatz for the scalar field profile and working out,…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Mariano Cadoni , Edgardo Franzin

We present the first exact, non-singular black hole solution in General Relativity sourced by a Dirac-Born-Infeld (DBI) scalar field. Crucially, the solution is exclusively supported by \emph{the phantom branch of the DBI action},…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Tausif Parvez , S. Shankaranarayanan

In this chapter, we discuss explicit black hole solutions in higher-order scalar-tensor theories. After a brief recap of no-hair theorems, we start our discussion by so-called stealth solutions present in theories with parity and shift…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Eugeny Babichev , Christos Charmousis , Nicolas Lecoeur
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