Instability of de Sitter Reissner-Nordstrom black hole in the 1/D expansion

Abstract

We study large D effective theory for D dimensional charged (Anti) de Sitter black holes. Then we show that de Sitter Reissner-Nordstrom black hole becomes unstable against gravitational perturbations at larger charge than certain critical value in higher dimension. Furthermore we find that there is a non-trivial zero-mode static perturbation at the critical charge. The existence of static perturbations suggests the appearance of non-spherical symmetric solution branches of static charged de Sitter black hole. This expectation is confirmed by constructing the non-spherical symmetric static solutions of large D effective equations.

10 pages, 2 figure, published version in CQG

References in corpus (9)

• Instability of higher dimensional charged black holes in the de-Sitter world
• Effective theory of Black Holes in the 1/D expansion
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Evolution and endpoint of the black string instability: Large D solution
• Quasinormal modes of (Anti-)de Sitter black holes in the 1/D expansion
• Non-uniform black strings and the critical dimension in the $1/D$ expansion
• Black rings at large D
• A Charged Membrane Paradigm at Large D
• New branch of Kaluza-Klein compactification

Cited by in corpus (30)

• Thermodynamics of higher dimensional black holes with higher order thermal fluctuations
• Superradiant instability of charged scalar fields in higher-dimensional Reissner-Nordström-de Sitter black holes
• Hydro-elastic Complementarity in Black Branes at large D
• The Large D Limit of Einstein's Equations
• The large D black hole Membrane Paradigm at first subleading order
• Currents and Radiation from the large $D$ Black Hole Membrane
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• Rotating black holes and black bars at large D
• Thermal transport and quasi-normal modes in Gauss-Bonnet-axions theory
• An Action for and Hydrodynamics from the improved Large D membrane
• Static Gauss-Bonnet Black Holes at Large $D$
• Charged Black Rings at large D
• Charged rotating black holes at large D
• Black holes in presence of cosmological constant: Second order in 1/D
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Large D gravity and charged membrane dynamics with nonzero cosmological constant
• Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$
• The origin of the Reissner-Nordström de Sitter instability
• Elastic instability of black rings at large D
• Black Ripples, Flowers and Dumbbells at large $D$
• Instability of Charged Gauss-Bonnet Black Hole in de Sitter Spacetime at Large $D$
• Non-spherically symmetric black string perturbations in the large D limit
• The large D Membrane Paradigm For Einstein-Gauss-Bonnet Gravity
• Large D membrane for Higher Derivative Gravity and Black Hole Second Law
• The Fate of Instability of de Sitter Black Holes at Large $D$
• The large $D$ membrane paradigm for general four-derivative theory of gravity with a cosmological constant
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• Static conformal elastic solution of Einstein's field equations
• Study of Semiclassical Instability of the Schwarzschild AdS Black Hole in the Large $D$ Limit
• Stress Tensor for Large-$D$ membrane at subleading orders