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arXiv · 1208.0981

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

Norihiro Tanahashi·Keiju Murata
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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 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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Norihiro Tanahashi, Keiju Murata. 2012-12-27. Instability in near-horizon geometries of even-dimensional Myers-Perry black holes. https://doi.org/10.1088/0264-9381%2F29%2F23%2F235002

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