The Fate of Instability of de Sitter Black Holes at Large $D$

Abstract

We study non-linearly the gravitational instabilities of Reissner-Nordstrom-de Sitter and Gauss-Bonnet-de Sitter black holes by using the large $D$ expansion method. In both cases, the thresholds of the instability are found to be consistent with the linear analysis, and on the thresholds the evolutions of the black holes under perturbations settle down to stationary lumpy solutions. However, the solutions in unstable region are highly time-dependent, and resemble the fully localized black spots and black ring with $S^{D-2}$ and $S^1\times S^{D-3}$ topologies, respectively. Our study indicates the possible transition between the lumpy black holes and localized black holes in higher dimensions.

17 pages, 4 figures, accepted version

References in corpus (9)

• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Instabilities of Black Strings and Branes
• Instability of higher dimensional charged black holes in the de-Sitter world
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• Einstein-Gauss-Bonnet Black Strings at Large $D$
• On Brane Instabilities in the Large $D$ Limit
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Cited by in corpus (5)

• The Large D Limit of Einstein's Equations
• Instability of regularized 4D charged Einstein-Gauss-Bonnet de-Sitter black holes
• Black Ripples, Flowers and Dumbbells at large $D$
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• Black Holes and Wormholes in Higher-Curvature Corrected Theories of Gravity