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arXiv · 0812.0718

Instabilities of Kerr-AdS_5 x S^5 Spacetime

Keiju Murata
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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.

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Keiju Murata. 2008-12-03. Instabilities of Kerr-AdS_5 x S^5 Spacetime. https://doi.org/10.1143/ptp.121.1099

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