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We obtain exact expressions for the quasi-normal modes of various spin for the BTZ black hole. These modes determine the relaxation time of black hole perturbations. Exact agreement is found between the quasi-normal frequencies and the…

High Energy Physics - Theory · Physics 2009-11-07 Danny Birmingham , Ivo Sachs , Sergey N. Solodukhin

Using the operator approach, we obtain logarithmic quasinormal modes and frequencies of a traceless spin-3 field around the BTZ black hole at the critical point of the spin-3 topologically massive gravity. The logarithmic quasinormal…

High Energy Physics - Theory · Physics 2013-05-30 Yong-Wan Kim , Yun Soo Myung , Young-Jai Park

The electromagnetic and gravitational quasinormal spectra of $(3+1)$-dimensional plane-symmetric anti-de Sitter black holes are analyzed in the context of the AdS/CFT correspondence. According to such a correspondence, the electromagnetic…

High Energy Physics - Theory · Physics 2008-12-18 Alex S. Miranda , Jaqueline Morgan , Vilson T. Zanchin

We provide an algebraic way to calculate the quasi-normal modes of a black hole, which possesses a hidden conformal symmetry. We construct an infinite tower of quasi-normal modes from the highest-weight mode, in a simple and elegant way.…

High Energy Physics - Theory · Physics 2011-01-20 Bin Chen , Jiang Long

We study the quasi-normal modes (QNM) of scalar, electromagnetic and gravitational perturbations of black holes in general relativity whose horizons have toroidal, cylindrical or planar topology in an asymptotically anti-de Sitter (AdS)…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Vitor Cardoso , Jose' P. S. Lemos

We study the quasi-normal modes of asymptotically anti-de Sitter black holes in a class of shift-symmetric Horndeski theories where a gravitational scalar is derivatively coupled to the Einstein tensor. The space-time differs from exact…

General Relativity and Quantum Cosmology · Physics 2017-11-17 Ruifeng Dong , Jeremy Sakstein , Dejan Stojkovic

Normal modes, quasi-normal modes and super-radiant modes are studied to clarify the total dynamics for complex scalar fields in Kerr anti-de Sitter black hole spacetime. Orthonormal relations and quasi-orthonormal relations are obtained for…

General Relativity and Quantum Cosmology · Physics 2009-05-06 Masakatsu Kenmoku

A novel method, based on superpotentials is proposed for obtaining the quasi-normal modes of anti-de Sitter black holes. This is inspired by the case of the three-dimensional BTZ black hole, where the quasi-normal modes can be obtained…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. R. Govindarajan , V. Suneeta

In this paper, we analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations of the warped dS$_3$ black hole. There are two horizons for the warped dS$_3$ black hole, namely, the black hole horizon…

High Energy Physics - Theory · Physics 2011-12-22 Bin Chen , Jia-ju Zhang , Jian-dong Zhang

We analytically calculate the quasi-normal modes of various perturbations of spacelike stretched and null warped $AdS_3$ black holes. From AdS/CFT correspondence, these quasi-normal modes are expected to appear as the poles in momentum…

High Energy Physics - Theory · Physics 2010-02-08 Bin Chen , Zhi-bo Xu

In this paper, we construct the quasi-normal modes of three-dimensional extremal black holes in an algebraic way. We show that the infinite towers of the quasi-normal modes of scalar, vector and tensor could be constructed as the…

High Energy Physics - Theory · Physics 2011-05-03 Bin Chen , Jia-ju Zhang

Quasinormal mode spectra for gravitational perturbations of black holes in four dimensional de Sitter and anti-de Sitter space are investigated. The anti-de Sitter case is relevant to the ADS-CFT correspondence in superstring theory. The…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ian G Moss , James P Norman

We provide a rigorous definition of quasi-normal modes for a rotating black hole. They are given by the poles of a certain meromorphic family of operators and agree with the heuristic definition in the physics literature. If the black hole…

Analysis of PDEs · Mathematics 2011-07-21 Semyon Dyatlov

We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

We review different applications of quasinormal modes to black hole physics, string theory and thermalisation in quantum field theory. In particular, we describe the the relation between quasi normal modes of AdS black holes and the time…

High Energy Physics - Theory · Physics 2009-11-10 Ivo Sachs

The quasinormal frequencies of massive scalar fields on Kerr-AdS black holes are identified with poles of a certain meromorphic family of operators, once boundary conditions are specified at the conformal boundary. Consequently, the…

Analysis of PDEs · Mathematics 2018-08-09 Oran Gannot

We study quasinormal modes for massive scalar fields in Schwarzschild-anti-de Sitter black holes. When the mass-squared is above the Breitenlohner-Freedman bound we show that for large angular momenta, $\ell$, there exist quasinormal modes…

Spectral Theory · Mathematics 2013-08-13 Oran Gannot

Logarithmic conformal field theories with vanishing central charge describe systems with quenched disorder, percolation or dilute self-avoiding polymers. In these theories the energy momentum tensor acquires a logarithmic partner. In this…

High Energy Physics - Theory · Physics 2014-11-20 Daniel Grumiller , Niklas Johansson

We present a concise review of known analytic results for quasinormal modes of black holes and related spacetimes. Our emphasis is on those regimes where the perturbation equations admit exact or perturbative solutions, providing insights…

General Relativity and Quantum Cosmology · Physics 2025-04-08 S. V. Bolokhov , Milena Skvortsova

Recently, a correspondence between quasinormal modes and grey-body factors of black holes has been established. This correspondence is known to be exact in the eikonal regime for a large class of asymptotically flat black holes and…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Zainab Malik
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