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In this work we construct a static and spherically symmetric black hole geometry supported by a family of generic mono-parametric sources thorough the Gravitational Decoupling. The parameter characterizing the matter sector can be…

General Relativity and Quantum Cosmology · Physics 2023-03-08 R. Avalos , P. Bargueño , E. Contreras

Kerr black holes with synchronised scalar hair and azimuthal harmonic index $m>1$ are constructed and studied. The corresponding domain of existence has a broader frequency range than the fundamental $m=1$ family; moreover, larger ADM…

General Relativity and Quantum Cosmology · Physics 2019-04-10 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

We analyze numerically the existence of regular stationary rotating hairy black holes within the framework of general relativity, which are the result of solving the Einstein-Klein-Gordon system for a complex-valued scalar field under…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Gustavo García , Eric Gourgoulhon , Philippe Grandclément , Marcelo Salgado

We find spherically symmetric and static black holes in shift-symmetric Horndeski and beyond Horndeski theories. They are asymptotically flat and sourced by a non trivial static scalar field. The first class of solutions is constructed in…

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

One of the consequences of the black-hole "no-hair" theorem in general relativity (GR) is that gravitational radiation (quasi-normal modes) from a perturbed Kerr black hole is uniquely determined by its mass and spin. Thus, the spectrum of…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Siddharth Dhanpal , Abhirup Ghosh , Ajit Kumar Mehta , Parameswaran Ajith , B. S. Sathyaprakash

The original Kerr theorem provides the foundation for Kerr-Schild transformations by classifying all shear-free and geodesic null congruences in flat spacetime; the key ingredient of the Kerr-Schild ansatz. However, due to the high level of…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Eloy Ayón-Beato , Daniel Flores-Alfonso , Mokhtar Hassaine

A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Wei Xu , Liu Zhao , De-Cheng Zou

Searching for violations of the no-hair theorem (NHT) is a powerful way to test gravity, and more generally fundamental physics, particularly with regards to the existence of additional scalar fields. The first observation of a black hole…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Mohsen Khodadi , Alireza Allahyari , Sunny Vagnozzi , David F. Mota

We investigate the static, spherically symmetric black hole solutions in the quasi-dilaton model and its generalizations, which are scalar extended dRGT massive gravity with a shift symmetry. We show that, unlike generic scalar extended…

High Energy Physics - Theory · Physics 2016-04-28 De-Jun Wu , Shuang-Yong Zhou

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

We analyse properties of general stationary and axisymmetric spacetimes, with a particular focus on circularity -- an accidental symmetry enjoyed by the Kerr metric, and therefore widely assumed when searching for rotating black hole…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Eugeny Babichev , Jacopo Mazza

The No Hair theorem in classical general relativity predicts that rotating black holes are specified by the Kerr metric, which is uniquely identified by the mass and spin. However, as a pioneering study beyond general relativity, the…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Zhen Li

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

While non-rotating black-hole solutions are well known in Einstein--\ae{}ther gravity, no axisymmetric solutions endowed with Killing horizons have been so far found outside of the slowly rotating limit. Here we show that the Kerr spacetime…

General Relativity and Quantum Cosmology · Physics 2024-04-22 Edgardo Franzin , Stefano Liberati , Jacopo Mazza

In general relativity without a cosmological constant, a classical theorem due to Hawking states that stationary black holes must be topologically spherical. This result is one of the several ingredients that collectively imply the…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Sourabh Nampalliwar , Arthur G. Suvorov , Kostas D. Kokkotas

General relativity's no-hair theorem states that isolated astrophysical black holes are described by only two numbers: mass and spin. As a consequence, there are strict relationships between the frequency and damping time of the different…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Eric Thrane , Paul Lasky , Yuri Levin

The general parametrization of spherically symmetric and asymptotically flat black-hole spacetimes in arbitrary metric theories of gravity was suggested in [3]. The parametrization is based on the continued fraction expansion in terms of…

General Relativity and Quantum Cosmology · Physics 2022-05-18 R. A. Konoplya , A. Zhidenko

Through gravitational decoupling using the extended minimal geometric deformation, a new family of static and rotating ``hairy'' black holes is provided. The background of these models is a generic Schwarzschild metric containing as special…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Pablo Leon , B. Mishra , Y. Gomez-Leyton , Francisco Tello-Ortiz

Recent advancements in observational techniques have led to new tests of the general relativistic predictions for black-hole spacetimes in the strong-field regime. One of the key ingredients for several tests is a metric that allows for…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Dirk Heumann , Dimitrios Psaltis

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