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The static, plane symmetric solutions and cylindrically symmetric solutions of Einstein-Maxwell equations with a negative cosmological constant are investigated. These black configurations are asymptotically anti-de Sitter not only in the…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Rong-Gen Cai , Yuan-Zhong Zhang

The current early stage in the investigation of the stability of the Kerr metric is characterized by the study of appropriate model problems. Particularly interesting is the problem of the stability of the solutions of the Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2012-11-20 Horst Reinhard Beyer , Miguel Alcubierre , Miguel Megevand , Juan Carlos Degollado

The superradiant stability is investigated for non-extremal Reissner-Nordstrom black hole. We use an algebraic method to demonstrate that all non-extremal Reissner-Nordstrom black holes are superradiantly stable against a charged massive…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Jia-Hui Huang , Zhan-Feng Mai

Black holes gradually settle into their static configuration by emitting gravitational waves, whose amplitude diminish over time according to a power-law decay at fixed spatial locations. We show that the nonlinear tails in the presence of…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Alex Kehagias , Antonio Riotto

It has been suggested that the spectrum of quasinormal modes of rotating black holes is unstable against additional potential terms in the perturbation equation, as the operator associated with the equation is non-self-adjoint. We point out…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Huan Yang , Jun Zhang

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

In this work, a four-dimensional cylindrical symmetric and non-static or static space-times in the backgrounds of anti-de Sitter (AdS) space with perfect stiff fluid, anisotropic fluid and electromagnetic field as the stress-energy tensor,…

General Physics · Physics 2019-06-21 Faizuddin Ahmed

Black resonators and geons in global AdS are rapidly rotating, low-energy solutions with a helical Killing field. We study the linear mode stability of equal angular momenta, five-dimensional black resonators and geons under scalar,…

High Energy Physics - Theory · Physics 2020-08-26 Takaaki Ishii , Keiju Murata , Jorge E. Santos , Benson Way

Black hole dynamical instabilities have been mostly studied in specific models. We here study the general properties of the complex-frequency modes responsible for such instabilities, guided by the example of a charged scalar field in an…

General Relativity and Quantum Cosmology · Physics 2016-07-04 Antonin Coutant , Florent Michel , Renaud Parentani

We find the quasinormal modes of the charged scalar and Dirac fields in the background of the rotating charged black holes, described by the Kerr-Newman-de Sitter solution. The dependence of the quasinormal spectrum upon the black hole…

High Energy Physics - Theory · Physics 2014-10-13 R. A. Konoplya , A. Zhidenko

We describe a mechanism that results in the nonlinear instability of stationary states even in the case where the stationary states are linearly stable. This instability is due to the nonlinearity-induced coupling of the linearization's…

Pattern Formation and Solitons · Physics 2015-06-03 P. G. Kevrekidis , D. E. Pelinovsky , A. Saxena

We develop a semiclassical description of Reissner--Nordstr\"om--de Sitter (RN--dS) evaporation by combining a spherically reduced two-dimensional dilaton gravity model with Polyakov anomaly backreaction. The framework captures the causal…

High Energy Physics - Theory · Physics 2026-05-21 Damien A. Easson

Black holes have their proper oscillations, which are called the quasi-normal modes. The proper oscillations of astrophysical black holes can be observed in the nearest future with the help of gravitational wave detectors. Quasi-normal…

General Relativity and Quantum Cosmology · Physics 2009-05-26 Alexander Zhidenko

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

We investigate the dynamical transition processes of an Einstein-Maxwell-scalar gravitational system between two local ground states and an excited state in the anti-de Sitter spacetime. From the linear perturbation theory, only the excited…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Qian Chen , Zhuan Ning , Yu Tian , Bin Wang , Cheng-Yong Zhang

The Teukolsky master equation and its associated spin-weighted spheroidal harmonic decomposition simplify considerably the study of linear gravitational perturbations of the Kerr(-AdS) black hole. However, the formulation of the problem is…

High Energy Physics - Theory · Physics 2015-06-12 Oscar J. C. Dias , Jorge E. Santos

We investigate the stability of highly charged Reissner-Nordstr\"om black holes to charged scalar perturbations. We show that the near-horizon region exhibits a transient instability which becomes the Aretakis instability in the extremal…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Peter Zimmerman

We study gravity interacting with a special kind of QCD-inspired nonlinear gauge field system which earlier was shown to yield confinement-type effective potential (the "Cornell potential") between charged fermions ("quarks") in flat…

High Energy Physics - Theory · Physics 2015-05-30 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

We study $D$-dimensional charged static spherically symmetric black hole solutions in Gauss-Bonnet theory coupled to nonlinear electrodynamics defined as arbitrary functions of the field invariant and constrained by several physical…

High Energy Physics - Theory · Physics 2015-12-09 D. Rubiera-Garcia

We analyse the stability issue of the vector and axial modes of the torsion and nonmetricity tensors around general backgrounds in the framework of cubic Metric-Affine Gravity. We show that the presence of cubic order invariants defined…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Sebastian Bahamonde , Jorge Gigante Valcarcel
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