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No-hair theorems are uniqueness results constraining the form of the metric of black holes in general relativity. These theorems are typically formulated under idealized assumptions, involving a mixture of local (regularity of the horizon)…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gerardo García-Moreno

We construct electrically charged Kerr black holes (BHs) with scalar hair. Firstly, we take an uncharged scalar field, interacting with the electromagnetic field only indirectly, via the background metric. The corresponding family of…

General Relativity and Quantum Cosmology · Physics 2016-09-14 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu , Helgi Runarsson

Extreme black holes have been argued to be unstable, in the sense that under linearized gravitational perturbations of the extreme Kerr spacetime the Weyl scalar $\psi_4$ blows up along their event horizons at very late advanced times. We…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Lior M. Burko , Gaurav Khanna

A class of nonstationary spacetimes is obtained by means of a conformal transformation of the Schwarzschild metric, where the conformal factor $a(t)$ is an arbitrary function of the time coordinate only. We investigate several situations…

General Relativity and Quantum Cosmology · Physics 2017-05-05 Marina M. C. Mello , Alan Maciel , Vilson T. Zanchin

By consideration of a Einstein-dilaton non-linear charged gravitating system, it has been shown that this theory is confronted with the problem of indeterminacy. It means that the number of independent differential equations is one less…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Mohsen Dehghani

Using the blackfold effective theory applied to extremal Kerr branes we provide evidence for the existence of new stationary extremal black hole solutions in asymptotically flat spacetime with both single and multiple disconnected horizons.…

High Energy Physics - Theory · Physics 2018-04-10 Jay Armas , Troels Harmark , Niels A. Obers

We construct spin-induced scalarized black hole solutions in a class of Einstein-Maxwell-scalar models, where a scalar field is non-minimally coupled to the electromagnetic field. Our results show that scalar hair develops only for rapidly…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Lang Cheng , Guangzhou Guo , Peng Wang , Haitang Yang

Recently, various examples of asymptotically flat, rotating black holes (BHs) with synchronized hair have been explicitly constructed, including Kerr BHs with scalar or Proca hair, and Myers-Perry BHs with scalar hair and a mass gap,…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Yves Brihaye , Carlos Herdeiro , Eugen Radu

Regular black holes with nonsingular cores have been considered in several approaches to quantum gravity, and as agnostic frameworks to address the singularity problem and Hawking's information paradox. While in a recent work we argued that…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Costantino Pacilio , Matt Visser

We summarize recent results on the properties of near-horizon metrics in different spherically symmetric space-times, including Kantowski-Sachs cosmological models whose evolution begins with a horizon (the so-called Null Big Bang) and…

General Relativity and Quantum Cosmology · Physics 2008-11-03 K. A. Bronnikov , E. Elizalde , O. B. Zaslavskii

We investigate extremal charged black hole solutions in the four-dimensional string frame Gauss-Bonnet gravity with the Maxwell field and the dilaton. Without curvature corrections, the extremal electrically charged dilatonic black holes…

High Energy Physics - Theory · Physics 2009-04-17 Dmitri V. Gal'tsov , Evgeny A. Davydov

We study the linear instability and the nonlinear dynamical evolution of the Reissner-Nordstr\"om (RN) black hole in the Einstein-Maxwell-scalar theory in asymptotic flat spacetime. We focus on the coupling function $f(\phi)=e^{-b\phi^2}$…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Wei Xiong , Peng Liu , Chao Niu , Cheng-Yong Zhang , Bin Wang

Aretakis has proved the existence of an instability of a massless scalar field at the horizon of an extreme Kerr or Reissner-Nordstrom black hole: for generic initial data, a transverse derivative of the scalar field at the horizon does not…

General Relativity and Quantum Cosmology · Physics 2012-11-16 James Lucietti , Harvey S. Reall

The Israel-Carter theorem (also known as the "no-hair theorem") puts a restriction on the existence of parameters other than mass, electric charge, and angular momentum of a black hole. In this context, Bekenstein proposed no-hair theorems…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Muhammed Shafeeque , Malay K. Nandy

We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole. When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this…

High Energy Physics - Theory · Physics 2023-02-15 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

We study the static, spherically symmetric black hole solutions for a non-minimally coupled multi-scalar theory. We find numerical solutions for values of the scalar fields when a certain constraint on the maximal charge is satisfied.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ben M. Leith , Alex B. Nielsen

We investigate the interplaying effects of black hole scalarization and superradiance in the context of the Einstein-Maxwell-scalar model, with the scalar field possessing electric charge. Restricted to spherical symmetry, our linear…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Sebastian Garcia-Saenz , Guangzhou Guo , Peng Wang , Xinmiao Wang

We holographically investigate the scalarization in the Einstein-Scalar-Gauss-Bonnet gravity with a negative cosmological constant. We find that instability exists for both Schwarzschild-AdS and Reissner-Nordstrom-AdS black holes with…

High Energy Physics - Theory · Physics 2020-10-21 Hong Guo , Stella Kiorpelidi , Xiao-Mei Kuang , Eleftherios Papantonopoulos , Bin Wang , Jian-Pin Wu

We discuss charged and static solutions in a shift-symmetric scalar-tensor gravity model including a negative cosmological constant. The solutions are only approximately Anti-de Sitter (AdS) asymptotically. While spherically symmetric black…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Yves Brihaye , Betti Hartmann

We construct two solutions of the minimally coupled Einstein-scalar field equations, representing regular deformations of Schwarzschild black holes by a self-interacting, static, scalar field. One solution features an exponentially decaying…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Helge Dennhardt , Olaf Lechtenfeld