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arxiv: 0812.0718 · v1 · submitted 2008-12-03 · ✦ hep-th · gr-qc

Instabilities of Kerr-AdS₅ x S⁵ Spacetime

Keiju Murata This is my paper
classification ✦ hep-th gr-qc
keywords spacetimeinstabilitieskerr-adsgregory-laflammeinstabilitysuperradiantwaveaccount
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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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