Black hole instabilities and local Penrose inequalities

Details Black hole instabilities and local Penrose inequalities Black hole instabilities and local Penrose inequalities

2011-07-28

arxiv.org/abs/1107.5785v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, 12 figures. v2: typos corrected, matches published version

Scientific paper

Various higher-dimensional black holes have been shown to be unstable by studying linearized gravitational perturbations. A simpler method for demonstrating instability is to find initial data that describes a small perturbation of the black hole and violates a Penrose inequality. An easy way to construct initial data is by conformal rescaling of the unperturbed black hole initial data. For a compactified black string, we construct initial data which violates the inequality almost exactly where the Gregory-Laflamme instability appears. We then use the method to confirm the existence of the "ultraspinning" instability of Myers-Perry black holes. Finally we study black rings. We show that "fat" black rings are unstable. We find no evidence of any rotationally symmetric instability of "thin" black rings.

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