Quasinormal spectrum and the black hole membrane paradigm

Starinets, Andrei (2009) Quasinormal spectrum and the black hole membrane paradigm Physics Letters B, 670, (4-5), pp. 442-445. (doi:10.1016/j.physletb.2008.11.028).


Full text not available from this repository.


The membrane paradigm approach to black hole physics introduces the notion of a stretched horizon as a fictitious time-like surface endowed with physical characteristics such as entropy, viscosity and electrical conductivity. We show that certain properties of the stretched horizons are encoded in the quasinormal spectrum of black holes. We compute analytically the lowest quasinormal frequency of a vector-type perturbation for a generic black hole with a translationally invariant horizon (black brane) in terms of the background metric components. The resulting dispersion relation is identical to the one obtained in the membrane paradigm treatment of the diffusion on stretched horizons. Combined with the Buchel–Liu universality theorem for the membrane's diffusion coefficient, our result means that in the long wavelength limit the black brane spectrum of gravitational perturbations exhibits a universal, purely imaginary quasinormal frequency. In the context of gauge–gravity duality, this provides yet another (third) proof of the universality of shear viscosity to entropy density ratio in theories with gravity duals.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.physletb.2008.11.028
Additional Information: Author: --> A. O. Starinets
ISSNs: 0370-2693 (print)
Keywords: gauge/gravity duality, quasinormal spectrum, thermal field theory, black branes
ePrint ID: 57608
Date :
Date Event
5 January 2009Published
Date Deposited: 07 Aug 2008
Last Modified: 16 Apr 2017 17:39
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/57608

Actions (login required)

View Item View Item