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Related papers: Superradiant instability in AdS

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We study the stability of anti-de Sitter (AdS) spacetime to spherically symmetric perturbations of a real scalar field in general relativity. Further, we work within the context of the "two time framework" (TTF) approximation, which…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Stephen R. Green , Antoine Maillard , Luis Lehner , Steven L. Liebling

The AdS/CFT duality has established a mapping between quantities in the bulk AdS black-hole physics and observables in a boundary finite-temperature field theory. Such a relationship appears to be valid for an arbitrary number of spacetime…

High Energy Physics - Theory · Physics 2009-10-16 Jaqueline Morgan , Vitor Cardoso , Alex S. Miranda , C. Molina , Vilson T. Zanchin

The familiar $c\rightarrow \infty$ nonrelativistic limit converts the Klein-Gordon equation in Minkowski spacetime to the free Schroedinger equation, and the Einstein-massive-scalar system without a cosmological constant to the…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Piotr Bizon , Oleg Evnin , Filip Ficek

Black hole solutions that are asymptotic to $ AdS_5 \times S^5$ or $ AdS_4 \times S^7$ can rotate in two different ways. If the internal sphere rotates then one can obtain a Reissner-Nordstrom-AdS black hole. If the asymptotically AdS space…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , H. S. Reall

The investigation on higher-dimensional AdS black holes is of great importance under the light of AdS/CFT correspondence. In this work we study static and rotating, uncharged and charged, AdS black holes in higher-dimensional $f(T)$…

General Relativity and Quantum Cosmology · Physics 2019-06-14 G. G. L. Nashed , Emmanuel N. Saridakis

Reissner-Nordstr\"om Anti-de Sitter (RNAdS) black holes are unstable against the charged scalar field perturbations due to the well-known superradiance phenomenon. We present the time domain analysis of charged scalar field perturbations in…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Ran Li , Hongbao Zhang , Junkun Zhao

Holography relates the quasinormal modes frequencies of AdS black holes to the pole structure of the dual field theory propagator. These modes thus provide the timescale for the approach to thermal equilibrium in the CFT. Here, we study how…

High Energy Physics - Theory · Physics 2020-10-14 Mariano Chernicoff , Gaston Giribet , Julio Oliva , Ricardo Stuardo

Black holes immersed in magnetic fields are believed to be important systems in astrophysics. One interesting topic on these systems is their superradiant stability property. In the present paper, we analytically obtain the superradiantly…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Yi-Feng Zou , Jun-Huai Xu , Zhan-Feng Mai , Jia-Hui Huang

We reconsider the study of critical behaviors of Kerr-Newman AdS black holes in four dimensions. The study is made in terms of the moduli space parameterized by the charge Q and the rotation parameter a, relating the mass M of the black…

High Energy Physics - Theory · Physics 2015-06-16 A. Belhaj , M. Chabab , H. El Moumni , L. Medari , M. B. Sedra

We study the stability of f(R)-AdS (Schwarzschild-AdS) black hole obtained from f(R) gravity. In order to resolve the difficulty of solving fourth order linearized equations, we transform f(R) gravity into the scalar-tensor theory by…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Taeyoon Moon , Yun Soo Myung , Edwin J. Son

Motivated by the Strong Cosmic Censorship Conjecture for asymptotically AdS spacetimes, we initiate the study of massive scalar waves satisfying $\Box_g \psi - \mu \psi =0$ on the interior of Anti-de Sitter (AdS) black holes. We prescribe…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Christoph Kehle

The Robinson-Trautman space-times provide solutions of Einstein's equations with negative cosmological constant, which settle to $AdS_4$ Schwarzschild black hole at late times. Via gauge/gravity duality they should describe a system out of…

High Energy Physics - Theory · Physics 2015-06-19 Ioannis Bakas , Kostas Skenderis

Locally AdS$_{d-1}\times\mathbb{R}$ uniform black strings (UBS) in the presence of a massless scalar field are believed to avoid the onset of the Gregory-Laflamme (GL) instability in $d\ge4$ as no tachyonic modes exist in the spectrum of…

High Energy Physics - Theory · Physics 2022-02-08 Aditya Dhumuntarao , Rafid Mahbub

Previous studies of the semilinear wave equation in Minkowski space have shown a type of critical behavior in which large initial data collapse to singularity formation due to nonlinearities while small initial data does not. Numerical…

General Relativity and Quantum Cosmology · Physics 2013-04-17 Steven L. Liebling

Perturbations of asymptotically Anti-de-Sitter (AdS) spacetimes are often considered by imposing field vanishing boundary conditions (BCs) at the AdS boundary. Such BCs, of Dirichlet-type, imply a vanishing energy flux at the boundary, but…

General Relativity and Quantum Cosmology · Physics 2015-12-04 Mengjie Wang , Carlos Herdeiro , Marco O. P. Sampaio

We consider the massive wave equation on asymptotically AdS spaces. We show that the timelike scri behaves like a finite timelike boundary, on which one may impose the equivalent of Dirichlet, Neumann or Robin conditions for a range of…

General Relativity and Quantum Cosmology · Physics 2014-07-29 C. M. Warnick

We study linear and nonlinear stability of asymptotically AdS$_4$ solutions in Einstein-Maxwell-scalar theory. After summarizing the set of static solutions we first examine thermodynamical stability in the grand canonical ensemble and the…

High Energy Physics - Theory · Physics 2017-05-24 Raúl Arias , Javier Mas , Alexandre Serantes

We prove that, for any continuous path of Kerr-adS black hole parameters crossing the Hawking-Reall threshold, for all azimuthal number $|m|$ sufficiently large, there exists black hole parameters on the path such that the Teukolsky…

Analysis of PDEs · Mathematics 2025-06-24 Olivier Graf

The superradiant stability of a Kerr-Newman black hole and charged massive scalar perturbation is investigated. We treat the black hole as a background geometry and study the equation of motion of the scalar perturbation. From the radial…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Jun-Huai Xu , Zi-Han Zheng , Ming-Jian Luo , Jia-Hui Huang

We study the propagation of charged scalar fields in the background of $2+1$-dimensional Coulomb-like AdS black holes, and we show that such propagation is unstable under Dirichlet boundary conditions. However, all the unstable modes are…

General Relativity and Quantum Cosmology · Physics 2021-10-27 P. A. González , Ángel Rincón , Joel Saavedra , Yerko Vásquez