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This proceeding reviews the recent finding of a certain class of, regular on and outside the horizon, exact hairy black hole solutions in four dimensional general relativity. Their construction follow from the integrability of a…

General Relativity and Quantum Cosmology · Physics 2012-11-14 Andres Anabalon

The existence of black holes is one of the key predictions of general relativity (GR) and therefore a basic consistency test for modified theories of gravity. In the case of spherical symmetry in GR the existence of an apparent horizon and…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Sebastian Murk , Daniel R. Terno

Perturbation theory of vacuum spherically-symmetric spacetimes is a crucial tool to understand the dynamics of black hole perturbations. Spherical symmetry allows for an expansion of the perturbations in scalar, vector, and tensor…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Michele Lenzi , Carlos F. Sopuerta

Stealth field configurations by definition have a vanishing energy-momentum tensor, thus do not contribute to the gravitational field equations. While only trivial fields can be stealth in Maxwell's electrodynamics, nontrivial stealth…

General Relativity and Quantum Cosmology · Physics 2018-04-27 Ivica Smolić

We study linear perturbations on top of the static and spherically symmetric background of dyonic black hole solutions endowed with electric and magnetic charges, as well as a scalar hair, in the lowest-order $U(1)$ gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Kitaro Taniguchi , Shunta Nishimura , Naoki Tsukamoto , Ryotaro Kase

We investigate static and spherically symmetric vacuum solutions in the symmetric teleparallel $f(\mathbb{Q})$ modified theory of gravity. Starting from a recently proposed classification of affine connections compatible with both the…

General Relativity and Quantum Cosmology · Physics 2026-02-24 A. Dehyadegari , A. Sheykhi

In this work we construct and analyse non-perturbative stationary and axially-symmetric black hole solutions in General Relativity coupled to an electromagnetic and an axion field. The axion field is coupled to the electromagnetic field,…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Clare Burrage , Pedro G. S. Fernandes , Richard Brito , Vitor Cardoso

We study axial (or odd-parity) perturbations about static and spherically symmetric hairy black hole (BH) solutions in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories. We first extend to the family of DHOST theories…

General Relativity and Quantum Cosmology · Physics 2022-11-03 David Langlois , Karim Noui , Hugo Roussille

We construct some new classes of topological black hole solutions in the context of mimetic gravity. We study the uncharged and charged black holes, separately. In the absence of a potential for the mimetic field, our solutions can address…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Ahmad Sheykhi , Saskia Grunau

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 Einstein-Gauss-Bonnet gravity in five dimensions is extended by scalar fields and the corresponding equations are reduced to a system of non-linear differential equations. A large family of regular solutions of these equations is shown…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Y. Brihaye , L. Ducobu

Black hole solutions of general relativity exhibit a symmetry for the static perturbations around these spacetimes, known as "ladder symmetry". This symmetry proves useful in constructing a tower of solutions for perturbations and…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Chanchal Sharma , Rajes Ghosh , Sudipta Sarkar

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

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 derive the master equations governing axial and polar gravitational perturbations of a generic static and spherically symmetric black hole spacetime within the framework of the revised Deser--Woodard nonlocal gravity theory. We then…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Rocco D'Agostino , Vittorio De Falco

Using gravitational decoupling under the requirements of a well-defined event horizon and the source matter satisfying the weak energy condition, we construct nonsingular hairy black holes with spherical or axial symmetry. These solutions…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Yaobin Hua , Rong-Jia Yang

We derive master equations for linear perturbations in Einstein-Maxwell-scalar theory, for any spacetime dimension D and any background with a maximally symmetric n = (D - 2)-dimensional spatial component. This is done by expressing all…

High Energy Physics - Theory · Physics 2021-04-23 Aron Jansen , Andrzej Rostworowski , Mieszko Rutkowski

Spherical black-hole (BH) solutions have been found in the bumblebee gravity where a vector field nonminimally couples to the Ricci tensor. We study dynamic (in)stability associated with the gravitational and vector perturbations of odd…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Zhan-Feng Mai , Rui Xu , Dicong Liang , Lijing Shao

Gravitational decoupling allows to obtain new solutions of general relativity. In this paper, we obtain new solutions of the Einstein field equations which describe non-singular black holes. We consider Hayward and Bardeen regular black…

General Relativity and Quantum Cosmology · Physics 2024-05-14 Maxim Misyura , Angel Rincon , Vitalii Vertogradov

In this work, we analyse static spherically symmetric solutions in the framework of mimetic gravity, an extension of general relativity where the conformal degree of freedom of gravity is isolated in a covariant fashion. Here we extend…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini
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