University of Cambridge > > DAMTP Friday GR Seminar > Black hole instabilities and local Penrose inequalities

Black hole instabilities and local Penrose inequalities

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If you have a question about this talk, please contact Ian A. Morrison.

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.

This talk is part of the DAMTP Friday GR Seminar series.

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