TY - JOUR
T1 - Black hole instabilities and local Penrose inequalities
AU - Figueras, Pau
AU - Murata, Keiju
AU - Reall, Harvey S.
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/11/21
Y1 - 2011/11/21
N2 - 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 GregoryLaflamme instability appears. We then use the method to confirm the existence of the ultraspinning instability of MyersPerry 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.
AB - 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 GregoryLaflamme instability appears. We then use the method to confirm the existence of the ultraspinning instability of MyersPerry 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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U2 - 10.1088/0264-9381/28/22/225030
DO - 10.1088/0264-9381/28/22/225030
M3 - Article
AN - SCOPUS:80755163081
VL - 28
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 22
M1 - 225030
ER -