Instabilities of Kerr-AdS_5 x S^5 Spacetime
High Energy Physics - Theory
2009-08-11 v1 General Relativity and Quantum Cosmology
Abstract
We study gravitational perturbations of the Kerr-AdS_5 x S^5 spacetime with equal angular momenta. In this spacetime, we found the two kinds of classical instabilities, superradiant and Gregory-Laflamme instabilities. The superradiant instability is caused by the wave amplification via superradiance, and by wave reflection due to the potential barrier of the AdS spacetime. The Gregory-Laflamme instability appears in Kaluza-Klein modes of the internal space S^5 and breaks the symmetry SO(6). Taken into account these instabilities, the phase structure of Kerr-AdS_5 x S^5 spacetime is revealed. The implication for the AdS/CFT correspondence is also discussed.
Cite
@article{arxiv.0812.0718,
title = {Instabilities of Kerr-AdS_5 x S^5 Spacetime},
author = {Keiju Murata},
journal= {arXiv preprint arXiv:0812.0718},
year = {2009}
}
Comments
30 pages, 7 figures