Quasinormal modes of AdS black holes and the approach to thermal equilibrium
Abstract
We investigate the decay of a scalar field outside a Schwarzschild antide 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 exponentialthere are no power law tails at late times. In terms of the AdSCFT 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 time scale for the approach to thermal equilibrium. We compute these time scales for the strongly coupled field theories in three, four, and six dimensions, which are dual to string theory in asymptotically AdS spacetimes.
 Publication:

Physical Review D
 Pub Date:
 July 2000
 DOI:
 10.1103/PhysRevD.62.024027
 arXiv:
 arXiv:hepth/9909056
 Bibcode:
 2000PhRvD..62b4027H
 Keywords:

 04.70.s;
 04.50.+h;
 11.15.q;
 11.25.Hf;
 Physics of black holes;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Gauge field theories;
 Conformal field theory algebraic structures;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 25 pages, 9 figures extended discussion of horizon boundary conditions, added note on higher l modes