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We study the linear stability of asymptotically anti-de Sitter black holes in general relativity in spacetime dimension $d\ge4$. Our approach is an adaptation of the general framework of Hollands and Wald, which gives a stability criterion…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Stephen R. Green , Stefan Hollands , Akihiro Ishibashi , Robert M. Wald

A scalar field non-minimally coupled to certain geometric [or matter] invariants which are sourced by [electro]vacuum black holes (BHs) may spontaneously grow around the latter, due to a tachyonic instability. This process is expected to…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Yves Brihaye , Carlos Herdeiro , Eugen Radu

It is interesting to note that most black holes are born very slowly rotating. We investigate scalarization of slowly rotating black holes in the Einstein-scalar-Chern-Simons (EsCS) theory. In the slow rotation approximation, the CS term…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Yun Soo Myung , De-Cheng Zou

Recent perturbative studies have shown the existence of long-lived, quasi-stationary configurations of scalar fields around black holes. In particular, such configurations have been found to survive for cosmological timescales, which is a…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Nicolas Sanchis-Gual , Juan Carlos Degollado , Pedro J. Montero , José A. Font

We investigate some aspects of the $(2+1)$-dimensional Gauss-Bonnet black hole proposed in [1][2]. The perturbations of scalar and massless spinorial fields are studied suggesting the dynamical stability of the geometry. The field evolution…

General Relativity and Quantum Cosmology · Physics 2024-01-31 B. Cuadros-Melgar , R. D. B. Fontana , Jeferson de Oliveira

We investigate black holes and gravitational perturbations when both the scalar Gauss-Bonnet and dynamical Chern-Simons gravity sectors coexist in addition to the Einstein-Hilbert term, and both sectors are coupled to a single canonically…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Shin'ichi Hirano , Masashi Kimura , Masahide Yamaguchi

The regularized four-dimensional Einstein-Gauss-Bonnet model has been recently proposed in [D. Glavan and C. Lin, Phys. Rev. Lett. \textbf{124}, 081301 (2020)] whose formulation is different of the Einstein theory, allowing us to bypass the…

General Relativity and Quantum Cosmology · Physics 2021-02-26 M. A. Cuyubamba

The addition of a Ricci coupling to Einstein-scalar-Gauss-Bonnet theories makes general relativity a cosmological attractor. Previous work considered a quadratic coupling function with two independent coupling constants in such theories and…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Burkhard Kleihaus , Jutta Kunz , Tim Utermöhlen , Emanuele Berti

We investigate spin-induced scalarization of Kerr black holes in an Einstein-scalar-Gauss-Bonnet (EsGB) model that does not admit a linear tachyonic instability of the scalar-free solution. The scalarization mechanism is therefore genuinely…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Meng-Yun Lai , Hyat Huang , Jutta Kunz , Yun Soo Myung , De-Cheng Zou

We show that, independently of the scalar field potential and of specific asymptotic properties of the spacetime (asymptotically flat, de Sitter or anti-de Sitter), any static, spherically symmetric or planar, black hole or soliton solution…

General Relativity and Quantum Cosmology · Physics 2015-09-22 Andres Anabalon , Jiří Bičák , Joel Saavedra

The Einstein's linear equation of a small perturbation in a space-time with a homogeneous section of low dimension, is studied. For every harmonic mode of the horizon, there are two solutions which behave differently at large distance $r$.…

General Relativity and Quantum Cosmology · Physics 2011-01-14 Jose L. Martinez-Morales

Can a black hole that suffers a superradiant instability evolve towards a 'hairy' configuration which is stable? We address this question in the context of Einstein-charged scalar field theory. First, we describe a family of static black…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Sam R Dolan , Supakchai Ponglertsakul , Elizabeth Winstanley

The study of perturbations around black hole backgrounds in general relativity and Einstein-Maxwell theory has a long history, going back to the work of Regge and Wheeler in the 1950s. As part of a broader investigation of perturbations…

High Energy Physics - Theory · Physics 2024-05-21 C. N. Pope , D. O. Rohrer , B. F. Whiting

We study axial perturbations of static black holes with primary hair in a family of degenerate higher-order scalar-tensor (DHOST) theories. These solutions possess a scalar charge, fully independent of the mass, leading to a continuous…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Christos Charmousis , Simon Iteanu , David Langlois , Karim Noui

We consider generic linear perturbations of a nonbidiagonal class of static black-hole solutions in massive (bi)gravity. We show that the quasinormal spectrum of these solutions coincides with that of a Schwarzschild black hole in general…

General Relativity and Quantum Cosmology · Physics 2016-09-19 Eugeny Babichev , Richard Brito , Paolo Pani

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

We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes,…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Hideo Kodama

We compute the quasinormal frequencies of d-dimensional large spherically symmetric black holes with Gauss-Bonnet corrections in the highly damped regime. We solve perturbatively the master differential equation and we compute the…

High Energy Physics - Theory · Physics 2023-06-27 Filipe Moura , João Rodrigues

In this paper, we construct scalarized rotating black holes within the framework of Einstein-Maxwell-scalar models. These models incorporate non-minimal couplings that can induce tachyonic instabilities, leading to the spontaneous…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

We study static, spherically symmetric and electrically charged black hole solutions in a quadratic Einstein-scalar-Gauss-Bonnet gravity model. Very similar to the uncharged case, black holes undergo spontaneous scalarization for…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Yves Brihaye , Betti Hartmann
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