Instability in near-horizon geometries of even-dimensional Myers-Perry black holes

Norihiro Tanahashi; Keiju Murata

doi:10.1088/0264-9381/29/23/235002

Instability in near-horizon geometries of even-dimensional Myers-Perry black holes

Norihiro Tanahashi, Keiju Murata

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

4 Citations (Scopus)

Abstract

We study the gravitational, electromagnetic and scalar field perturbations on the near-horizon geometries of the even-dimensional extremal Myers-Perry black holes. By dimensional reduction, the perturbation equations are reduced to effective equations of motion in AdS ₂. We find that some modes in the gravitational perturbations violate the Breitenlöhner-Freedman bound in AdS ₂. This result suggests that the even-dimensional (near-)extremal Myers-Perry black holes are unstable against gravitational perturbations. We also discuss implications of our results to the Kerr-CFT correspondence.

Original language	English
Article number	235002
Journal	Classical and Quantum Gravity
Volume	29
Issue number	23
DOIs	https://doi.org/10.1088/0264-9381/29/23/235002
Publication status	Published - 2012 Dec 7
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1088/0264-9381/29/23/235002

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abstract = "We study the gravitational, electromagnetic and scalar field perturbations on the near-horizon geometries of the even-dimensional extremal Myers-Perry black holes. By dimensional reduction, the perturbation equations are reduced to effective equations of motion in AdS 2. We find that some modes in the gravitational perturbations violate the Breitenl{\"o}hner-Freedman bound in AdS 2. This result suggests that the even-dimensional (near-)extremal Myers-Perry black holes are unstable against gravitational perturbations. We also discuss implications of our results to the Kerr-CFT correspondence.",

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AB - We study the gravitational, electromagnetic and scalar field perturbations on the near-horizon geometries of the even-dimensional extremal Myers-Perry black holes. By dimensional reduction, the perturbation equations are reduced to effective equations of motion in AdS 2. We find that some modes in the gravitational perturbations violate the Breitenlöhner-Freedman bound in AdS 2. This result suggests that the even-dimensional (near-)extremal Myers-Perry black holes are unstable against gravitational perturbations. We also discuss implications of our results to the Kerr-CFT correspondence.

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Instability in near-horizon geometries of even-dimensional Myers-Perry black holes

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