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Quasinormal modes of black holes and black branes

REVIEW ARTICLE

Emanuele Berti1,2, Vitor Cardoso1,3 and Andrei O Starinets4

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TOPICAL REVIEW

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 require 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.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

11.25.-w Strings and branes

04.70.Bw Classical black holes

02.10.Ud Linear algebra

04.80.Nn Gravitational wave detectors and experiments

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

MSC

83E30 String and superstring theories (See also 81T30)

83C57 Black holes

83C45 Quantization of the gravitational field

83C35 Gravitational waves

Subjects

Mathematical physics

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 16 (21 August 2009)

Published 24 July 2009



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