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Geodesic equations of the vacuum C-metric are derived and solved for various cases. The solutions describe the motion of timelike or null particles with conserved energy and angular momentum. Polar, nearly-circular orbits around weakly…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Yen-Kheng Lim

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 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 consider the motion of massive and massless particles in a five-dimensional spacetime with a compactified extra-dimensional space where a black hole is localized, i.e., a caged black hole spacetime. We show the existence of circular…

General Relativity and Quantum Cosmology · Physics 2021-04-12 Takahisa Igata , Shinya Tomizawa

The thermodynamic properties of a static and spherically symmetric hairy black hole solution arising in massive gravity with spontaneous Lorentz breaking are investigated. The analysis is carried out by enclosing the black hole in a…

General Relativity and Quantum Cosmology · Physics 2012-08-02 Fabio Capela , Germano Nardini

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

In the light of the "no-hair" conjecture, we revisit stable black holes in su(N) Einstein-Yang-Mills theory with a negative cosmological constant. These black holes are endowed with copious amounts of gauge field hair, and we address the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Ben L. Shepherd , Elizabeth Winstanley

The superradiant instability of Kerr-AdS black holes is studied by numerically solving the full 3+1 dimensional Einstein equations. We find that the superradiant instability results in a two stage process with distinct initial and secondary…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Paul M. Chesler

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

For a general spherically four--dimensional metric the notion of "circularity" of a family of equatorial geodesic trajectories is defined in geometrical terms. The main object turns out to be the angular--momentum function $J$ obeying a…

General Relativity and Quantum Cosmology · Physics 2017-06-08 Wolfgang Graf

We study the stability of static, hyperbolic Gauss-Bonnet black holes in (4+1)-dimensional Anti-de-Sitter (AdS) space-time against the formation of scalar hair. Close to extremality the black holes possess a near-horizon topology of AdS_2 x…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Yves Brihaye , Betti Hartmann

We study the static black holes in the large $D$ dimensions in the Gauss-Bonnet gravity with a cosmological constant, coupled to the Maxewell theory. After integrating the equation of motion with respect to the radial direction, we obtain…

High Energy Physics - Theory · Physics 2017-05-24 Bin Chen , Peng-Cheng Li

"Almost all" seems to be known about isolated stationary black holes in asymptotically flat space-times and about the behaviour of {\em test} matter and fields in their backgrounds. The black holes likely present in galactic nuclei and in…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Oldřich Semerák , Petra Suková

Kerr black holes with synchronised hair [arXiv:1403.2757, arXiv:1603.02687] are a counter example to the no hair conjecture, in General Relativity minimally coupled to simple matter fields (with mass $\mu$) obeying all energy conditions.…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Juan Carlos Degollado , Carlos A. R. Herdeiro , Eugen Radu

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 have derived the criteria for thermal stability of charged rotating black holes, for horizon areas that are large relative to the Planck area (in these dimensions). In this paper, we generalized it for black holes with arbitrary hairs.…

General Relativity and Quantum Cosmology · Physics 2018-07-31 Aloke Kumar Sinha

The detection of black hole scalar hair, a possible deviation from general relativity's "no-hair" theorem, requires sensitive probes beyond conventional methods. This study proposes chaotic dynamics as a novel indicator for scalar hair in…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Yang Yu , Ruo-Ting Chen , Shulan Li , Dan Zhang , Jian-Pin Wu

We study the dynamics of test particle and stability of circular geodesics in the gravitational field of a non-commutative geometry inspired Schwarzschild black hole spacetime (NCSBH). The coordinate time Lyapunov exponent ($\lambda_{c}$)…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Shobhit Giri , Hemwati Nandan , Lokesh Kumar Joshi , Sunil D. Maharaj

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

The stability of the magnetically charged Reissner-Nordstrom black hole solution is investigated in the context of a theory with massive charged vector mesons. By exploiting the spherical symmetry of the problem, the linear perturbations…

High Energy Physics - Theory · Physics 2010-11-01 S. Alexander Ridgway , Erick J. Weinberg