Instabilities of kerr-AdS5 × S5 spacetime

Keiju Murata

doi:10.1143/PTP.121.1099

Instabilities of kerr-AdS₅ × S⁵ spacetime

Keiju Murata

Department of Business and Commerce

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

We study gravitational perturbations of the Kerr-AdS₅ × S⁵ spacetime with equal angular momenta. In this spacetime, we found the two types of classical instability, superradiant and Gregory-Laflamme. 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 and breaks the symmetry SO(6). By taking into account these instabilities, the phase structure of Kerr-AdS₅ x S₅ spacetime is revealed. The implication for the AdS/CFT correspondence is also discussed.

Original language	English
Pages (from-to)	1099-1124
Number of pages	26
Journal	Progress of Theoretical Physics
Volume	121
Issue number	5
DOIs	https://doi.org/10.1143/PTP.121.1099
Publication status	Published - 2009 May

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1143/PTP.121.1099

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AB - We study gravitational perturbations of the Kerr-AdS5 × S5 spacetime with equal angular momenta. In this spacetime, we found the two types of classical instability, superradiant and Gregory-Laflamme. 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 and breaks the symmetry SO(6). By taking into account these instabilities, the phase structure of Kerr-AdS5 x S5 spacetime is revealed. The implication for the AdS/CFT correspondence is also discussed.

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Instabilities of kerr-AdS₅ × S⁵ spacetime

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