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Generalized vector-tensor theories of gravity have drawn attention for admitting hairy black hole solutions, thereby circumventing the standard no-hair theorems. It remains an open question, however, how such black holes may form starting…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Hsu-Wen Chiang , Sebastian Garcia-Saenz , Aofei Sang

Supported by the use of a regular scalar field we find a black hole solution in the Einstein-Gauss-Bonnet model. From the obtained solution we can recover the Schwarzschild black hole as in other works. Later, by implementing the odd parity…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Gilberto Aguilar-Pérez , Miguel Cruz , Samuel Lepe , Israel Moran-Rivera

In regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2022-08-02 Shinji Tsujikawa

We derive the odd parity perturbation equation in scalar-tensor theories with a non minimal kinetic coupling sector of the general Horndeski theory, where the kinetic term is coupled to the metric and the Einstein tensor. We derive the…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Adolfo Cisterna , Miguel Cruz , Térence Delsate , Joel Saavedra

In the realm of astrophysics, black holes exist within nonvacuum cosmological backgrounds, making it crucial to investigate how these backgrounds influence the properties of black holes. In this work, we first introduce a novel static…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Yaghoub Heydarzade , Maxim Misyura , Vitalii Vertogradov

In four-dimensional vacuum general relativity the only known static, exact and analytical black hole solution is given by the Schwarzschild spacetime. In this paper this renowned metric is generalised by adding another integrating constant,…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Marco Astorino

Explaining the late time acceleration is one of the most challenging tasks for theoretical physicists today. Infra-red modification of Einstein's general theory of relativity (GR) is a possible route to model late time acceleration. In this…

General Relativity and Quantum Cosmology · Physics 2020-05-08 Mostafizur Rahman , Anjan A. Sen

We construct a consistent three-dimensional Einstein-Gauss-Bonnet theory as a vector-tensor theory within the generalized Proca class by employing a regularization procedure based on the Weyl geometry, which was introduced recently in…

High Energy Physics - Theory · Physics 2025-11-21 Gokhan Alkac , Murat Mesta , Gonul Unal

Owing to our work in part I of this series of papers, it is understood that the analytically known black hole solutions in the theory of ghost free multi-metric gravity can be split into three distinct classes, and that one of these classes…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Kieran Wood , Paul M. Saffin , Anastasios Avgoustidis

No-hair theorems exclude the existence of nontrivial scalar and massive vector hair outside four-dimensional, static, asymptotically flat black-hole spacetimes. We show, by explicitly building nonlinear solutions, that black holes can…

General Relativity and Quantum Cosmology · Physics 2013-09-09 Richard Brito , Vitor Cardoso , Paolo Pani

We analyze spherical and odd-parity linear perturbations of hairy black holes with a minimally coupled scalar field.

General Relativity and Quantum Cosmology · Physics 2016-02-04 Andres Anabalon , Jiří Bičák

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

Gravitational wave observations can test the validity of General Relativity (GR) in the strong field regime. Certain classes of scalar-tensor theories indeed predict that compact objects can exhibit significant deviations from their GR…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Georgios Antoniou , Caio F. B. Macedo , Andrea Maselli , Thomas P. Sotiriou

We investigate classical and semiclassical signatures of black holes in a recently proposed Proca-Gauss-Bonnet gravity model that admits asymptotically flat solutions with primary hair. Two distinct classes of spherically symmetric metrics…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Bekir Can Lütfüoğlu

We study asymptotically flat black holes with massive graviton hair within the ghost-free bigravity theory. There have been contradictory statements in the literature about their existence -- such solutions were reported some time ago, but…

High Energy Physics - Theory · Physics 2021-01-04 Romain Gervalle , Mikhail S. Volkov

Scalar-tensor theories of gravity where a new scalar degree of freedom couples to the Gauss-Bonnet invariant can exhibit the phenomenon of spontaneous black hole scalarization. These theories admit both the classic black holes predicted by…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Hector O. Silva , Caio F. B. Macedo , Thomas P. Sotiriou , Leonardo Gualtieri , Jeremy Sakstein , Emanuele Berti

We review the black hole solutions of the ghost-free massive gravity theory and its bimetric extension and outline the main results on the stability of these solutions against small perturbations. Massive (bi)-gravity accommodates exact…

General Relativity and Quantum Cosmology · Physics 2015-07-28 Eugeny Babichev , Richard Brito

Using a recently developed perturbation formalism based on curvature quantities, we investigate the linear stability of black holes and solitons with Yang-Mills hair and a negative cosmological constant. We show that those solutions which…

General Relativity and Quantum Cosmology · Physics 2009-11-07 O. Sarbach , E. Winstanley

Massive vector fields feature in several areas of particle physics, e.g., as carriers of weak interactions, dark matter candidates, or as an effective description of photons in a plasma. Here we investigate vector fields with…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Katy Clough , Thomas Helfer , Helvi Witek , Emanuele Berti

We study linear perturbations around a static and spherically symmetric black hole solution in spatially covariant gravity with just two tensorial degrees of freedom. In this theory, gravity modification is characterized by a single…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Jin Saito , Tsutomu Kobayashi