Black hole instabilities and local Penrose inequalities

Jul, 2011
35 pages
Published in:
  • Class.Quant.Grav. 28 (2011) 225030
e-Print:

Citations per year

2012201520182021202402468
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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