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arXiv · hep-th/0612065

Low-lying gravitational modes in the scalar sector of the global AdS_4 black hole

Georgios Michalogiorgakis·Silviu S. Pufu
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Abstract

We compute the quasinormal frequencies corresponding to the scalar sector of gravitational perturbations in the four-dimensional AdS-Schwarzschild black hole by using the master field formalism of hep-th/0305147. We argue that the non-deformation of the boundary metric favors a Robin boundary condition on the master field over the usual Dirichlet boundary condition mostly used in the literature. Using this Robin boundary condition we find a family of low-lying modes, whose frequencies match closely with predictions from linearized hydrodynamics on the boundary. In addition to the low-lying modes, we also see the usual sequence of modes with frequencies almost following an arithmetic progression.

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Georgios Michalogiorgakis, Silviu S. Pufu. 2008-08-19. Low-lying gravitational modes in the scalar sector of the global AdS_4 black hole. https://doi.org/10.1088/1126-6708%2F2007%2F02%2F023

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