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Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium

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arxiv hep-th/9909056 v2 pith:SRNVL63S submitted 1999-09-09 hep-th gr-qc

Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium

classification hep-th gr-qc
keywords blackdecayfieldthermalapproachasymptoticallycorrespondsequilibrium
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the decay of a scalar field outside a Schwarzschild anti de Sitter black hole. This is determined by computing the complex frequencies associated with quasinormal modes. There are qualitative differences from the asymptotically flat case, even in the limit of small black holes. In particular, for a given angular dependence, the decay is always exponential - there are no power law tails at late times. In terms of the AdS/CFT correspondence, a large black hole corresponds to an approximately thermal state in the field theory, and the decay of the scalar field corresponds to the decay of a perturbation of this state. Thus one obtains the timescale for the approach to thermal equilibrium. We compute these timescales for the strongly coupled field theories in three, four, and six dimensions which are dual to string theory in asymptotically AdS spacetimes.

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Cited by 15 Pith papers

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