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We present a numerical analysis of the stability properties of the black holes with scalar hair constructed by Herdeiro and Radu. We prove the existence of a novel gauge where the scalar field perturbations decouple from the metric…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Bogdan Ganchev , Jorge E. Santos

We study scalar fields in a black hole background and show that, when the scalar is suitably coupled to curvature, rapid rotation can induce a tachyonic instability. This instability, which is the hallmark of spontaneous scalarization in…

General Relativity and Quantum Cosmology · Physics 2020-12-07 Alexandru Dima , Enrico Barausse , Nicola Franchini , Thomas P. Sotiriou

The stability of geodesic orbits around a regular hairy black hole, in the gravitational decoupling setup, is investigated by employing Lyapunov exponents, which quantify the divergence rate of nearby trajectories in dynamical systems. Both…

General Relativity and Quantum Cosmology · Physics 2025-12-18 R. C. de Paiva , K. S. Alves , R. T. Cavalcanti , R. da Rocha

We study charged scalar perturbations of charged extremal black holes in Einstein-Born-Infeld theory. Our numerical results indicate that these black holes all suffer from superradiant instability by the unstable quasi-bound states,…

High Energy Physics - Theory · Physics 2024-04-05 Ze-Hua Wu , H. Lu

The stability of black holes and solitons in d-dimensional Anti-de Sitter space-time against scalar field condensation is discussed. The resulting solutions are "hairy" black holes and solitons, respectively. In particular, we will discuss…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Betti Hartmann

Criteria for thermal stability of charged rotating black holes of any dimension are derived, for horizon areas that are large relative to the Planck area (in these dimensions). The derivation is based on generic assumptions of quantum…

General Relativity and Quantum Cosmology · Physics 2018-07-30 Aloke Kumar Sinha , Parthasarathi Majumdar

Gravitational perturbations in the geometry of asymptotically flat black hole solution in the deformed Ho\v{r}ava-Lifshitz(HL) gravity are considered and the associated quasinormal mode(QNM) frequencies are evaluated using WKB method. Black…

General Relativity and Quantum Cosmology · Physics 2009-12-17 Nijo Varghese , V C Kuriakose

Near-extreme Reissner-Nordstrom-anti-de Sitter black holes are unstable against the condensation of an uncharged scalar field with mass close to the Breitenlohner-Freedman bound. It is shown that a similar instability afflicts near-extreme…

High Energy Physics - Theory · Physics 2010-11-15 Oscar J. C. Dias , Ricardo Monteiro , Harvey S. Reall , Jorge E. Santos

We study black holes in AdS-like spacetimes, with the horizon given by an arbitrary positive curvature Einstein metric. A criterion for classical instability of such black holes is found in the large and small black hole limits. Examples of…

High Energy Physics - Theory · Physics 2014-11-18 Sean A. Hartnoll

We numerically study the superradiant instability of charged massless scalar field in the background of charged stringy black hole with mirror-like boundary condition. We compare the numerical result with the previous analytical result and…

General Relativity and Quantum Cosmology · Physics 2015-01-14 Ran Li , Junkun Zhao

We study the phenomena of superradiance for $F(R)$-Maxwell black holes in an AdS space-time. The AdS boundary plays the role of a mirror and provides a natural confining system that makes the superradiant waves bouncing back and forth…

General Relativity and Quantum Cosmology · Physics 2020-06-02 A. Rahmani , M. Honardoost , H. R. Sepangi

Regular and spherically symmetric black holes that solve the singularity problems of the Schwarzschild solution are phenomenologically viable at large distance but usually suffer from the Cauchy horizon instability. To overcome this…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Marco Calzá , Massimiliano Rinaldi , Sergio Zerbini

Recently, ultracompact objects have been found to be susceptible to a new nonlinear instability, known as the light-ring instability, triggered by stable light rings. This discovery raises concerns about the viability of these objects as…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Guangzhou Guo , Peng Wang , Yupeng Zhang

A massless scalar field exhibits an instability at the event horizon of an extreme black hole. We study numerically the nonlinear evolution of this instability for spherically symmetric perturbations of an extreme Reissner-Nordstrom (RN)…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Keiju Murata , Harvey S. Reall , Norihiro Tanahashi

Charged and/or rotating black holes in General Relativity feature Cauchy horizons, which indicate a breakdown of predictability in the theory. Focusing on spherically symmetric charged black holes, we remark that the inevitability of…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Tomáš Hale , Robie A. Hennigar , David Kubiznak

We construct a new class of plane-symmetric solutions possessing a curvature singularity which is null and weak, like the spacetime singularity at the Cauchy horizon of spinning (or charged) black holes. We then analyse the stability of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Amos Ori

It was recently shown that the extremal charged black holes in STU supergravity suffer from superradiant instability owing to the existence of the unstable (low-frequency) quasibound states associated with a charged massive scalar field. In…

High Energy Physics - Theory · Physics 2022-07-06 Zhan-Feng Mai , Run-Qiu Yang , H. Lü

Is it possible the no-hair paradigm is violated when a black hole undergoes an instability? Employing massless charged scalar perturbations, we address this question within the context of conformally invariant Einstein-Maxwell theory for…

General Relativity and Quantum Cosmology · Physics 2020-10-01 Afsaneh Rahmani , Mohsen Khodadi , Matin Honardoost , Hamid Reza Sepangi

Recently, a no inner (Cauchy) horizon theorem for static black holes with non-trivial scalar hairs has been proved in Einstein-Maxwell-scalar theories. In this paper, we extend the theorem to the static black holes in…

High Energy Physics - Theory · Physics 2022-04-20 Deniz O. Devecioglu , Mu-In Park

We extend the analysis, initiated in arXiv:1901.01269, of the thermodynamic stability of four-dimensional asymptotically flat hairy black holes by considering a general class of exact solutions in Einstein-Maxwell-dilaton theory with a…

High Energy Physics - Theory · Physics 2021-03-17 Dumitru Astefanesei , Jose Luis Blázquez-Salcedo , Francisco Gómez , Raúl Rojas
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