Black hole instabilities and local Penrose inequalities
Jul, 2011
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Abstract: (arXiv)
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.Note:
- 35 pages, 12 figures. v2: typos corrected, matches published version
- black hole: stability
- black hole: higher-dimensional
- black hole: perturbation
- black hole: Myers-Perry
- rescaling: conformal
- black ring
- black string
- black hole: spin
- black hole: Kaluza-Klein
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Figures(13)
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