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Published August 21, 2009 | Submitted
Journal Article Open

Quasinormal modes of black holes and black branes

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 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.

Additional Information

© Institute of Physics and IOP Publishing Limited 2009. In final form 18 May 2009. Published 24 July 2009. Print publication: Issue 16 (21 August 2009). We thank Alessandra Buonanno, Manuela Campanelli, Marc Casals, Ruth Daly, Sam Dolan, Guido Festuccia, Martin Gaskell, Leonardo Gualtieri, Shahar Hod, Roman Konoplya, Cole Miller, Christian Ott, Luciano Rezzolla, Andrzej Rostworowski, Ana Sousa, Uli Sperhake and Vilson Zanchin for very useful discussions and for sharing with us some unpublished material. We also thank Ilya Mandel for clarifications on rate calculations; Luca Baiotti, Bruno Giacomazzo and Luciano Rezzolla for providing numerical data from [46]; Marta Volonteri for preparing figure 16; Lubos Motl and Andrew Neitzke for permission to reproduce figure 4 from [101]; Shijun Yoshida for providing numerical data from [234] and Alex Miranda for numerous suggestions. V C's work was partially funded by Fundação para a Ciência e a Tecnologia (FCT), Portugal, through projects PTDC/FIS/64175/2006, by a Fulbright Scholarship and by the National Science Foundation through LIGO Research Support grant NSF PHY-0757937.

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