Dirty black holes: quasinormal modes

Abstract. Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes. The analysis and classification of the quasinormal spectra requires solving non-Hermitian eigenvalue problems for the associated linear differential equations. Within the recently developed gauge-gravity duality, these modes serve as an important tool for determining the near-equilibrium properties of strongly coupled quantum field theories, in particular their transport coefficients, such as viscosity, conductivity and diffusion constants. In astrophysics, the detection of quasinormal modes in gravitational wave experiments would allow precise measurements of the mass and spin of black holes as well as new tests of general relativity. This review is meant as an introduction to the subject, with a focus on the recent developments in the field.

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“…It was shown by several authors [277,278,249] that for spacetimes with a single horizon, for all values of l one has…”

Section: Higher Dimensional Schwarzschild-tangherlini Black Holesmentioning

confidence: 99%

Quasinormal modes of black holes and black branes

Berti

Cardoso

Starinets

2009

Class. Quantum Grav.

1,809

2,169

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“…These were studied using a perturbative method in 111 . Higher modes of the spherically symmetric dirty black holes were studied in 112 . Quasinormal modes of black holes surrounded by quintessence were studied in [113][114][115][116] , and modes of the phantom scalar field in 117 .…”

Section: Quasinormal Modes Of D = 4 Black Holesmentioning

confidence: 99%

Quasinormal modes of black holes: From astrophysics to string theory

2011

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Perturbations of black holes, initially considered in the context of possible observations of astrophysical effects, have been studied for the past ten years in string theory, brane-world models and quantum gravity. Through the famous gauge/gravity duality, proper oscillations of perturbed black holes, called quasinormal modes (QNMs), allow for the description of the hydrodynamic regime in the dual finite temperature field theory at strong coupling, which can be used to predict the behavior of quark-gluon plasmas in the nonperturbative regime. On the other hand, the brane-world scenarios assume the existence of extra dimensions in nature, so that multidimensional black holes can be formed in a laboratory experiment. All this stimulated active research in the field of perturbations of higher-dimensional black holes and branes during recent years. In this review recent achievements on various aspects of black hole perturbations are discussed such as decoupling of variables in the perturbation equations, quasinormal modes (with special emphasis on various numerical and analytical methods of calculations), late-time tails, gravitational stability, AdS/CFT interpretation of quasinormal modes, and holographic superconductors. We also touch on state-of-the-art observational possibilities for detecting quasinormal modes of black holes.

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“…Now we address the problem of the next, subleading correction, of zeroth order in n, to formula (15). It is only natural to expect that this correction is spin-dependent.…”

Section: Teukolsky Equation Quasinormal Modes Of Odd Integer Spinmentioning

confidence: 99%

Quasinormal Modes for Arbitrary Spins in the Schwarzschild Background

Khriplovich

Ruban

2006

Int. J. Mod. Phys. D

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The leading term of the asymptotic of quasinormal modes in the Schwarzschild background, ω n = − i n/2, is obtained in two straightforward analytical ways for arbitrary spins. One of these approaches requires almost no calculations. As simply we demonstrate that for any odd integer spin, described by the Teukolsky equation, the first correction to the leading term vanishes. Then, this correction for half-integer spins is obtained in a slightly more intricate way. At last, we derive analytically the general expression for the first correction for all spins, described by the Teukolsky equation.

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Dirty black holes: quasinormal modes

Cited by 65 publications

References 72 publications

Quasinormal modes of black holes and black branes

Quasinormal modes of black holes and black branes

Quasinormal modes of black holes: From astrophysics to string theory

Quasinormal Modes for Arbitrary Spins in the Schwarzschild Background

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