On the instability of Reissner-Nordstrom black holes in de Sitter backgrounds

Abstract

Recent numerical investigations have uncovered a surprising result: Reissner-Nordstrom-de Sitter black holes are unstable for spacetime dimensions larger than 6. Here we prove the existence of such instability analytically, and we compute the timescale in the near-extremal limit. We find very good agreement with the previous numerical results. Our results may me helpful in shedding some light on the nature of the instability.

Published in Phys.Rev.D

References in corpus (13)

• Quasinormal modes of black holes and black branes
• Instabilities of Black Strings and Branes
• Classical instability of Kerr-AdS black holes and the issue of final state
• Instability of higher dimensional charged black holes in the de-Sitter world
• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Superradiance and Instability of Black Holes
• Superradiant Instability of Five-Dimensional Rotating Charged AdS Black Holes
• Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
• Stability of Lovelock Black Holes under Tensor Perturbations
• Instabilities of Kerr-AdS_5 x S^5 Spacetime
• Instability of Small Lovelock Black Holes in Even-dimensions
• Origin of black string instability

Cited by in corpus (32)

• On the stability of scalarized black hole solutions in scalar-Gauss-Bonnet gravity
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Superradiant instability of charged scalar fields in higher-dimensional Reissner-Nordström-de Sitter black holes
• Black holes in Starobinsky-Bel-Robinson Gravity and the breakdown of quasinormal modes/null geodesics correspondence
• Instability of D-dimensional extremally charged Reissner-Nordstrom(-de Sitter) black holes: Extrapolation to arbitrary D
• Strong Cosmic Censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime
• Instability of de Sitter Reissner-Nordstrom black hole in the 1/D expansion
• Regular multihorizon black holes in $f(G)$ gravity with nonlinear electrodynamics
• Bondi-type accretion in the Reissner-Nordström-(anti-)de Sitter spacetime
• Quasi-topological Reissner-Nordström Black Holes
• On the quasinormal modes of the de Sitter spacetime
• Superradiant Instabilities in a Class of Scalar-Tensor Horndeski Theory
• Strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Nordstrom--de Sitter black hole
• A simple test for stability of black hole by $S$-deformation
• Hair mass bound in the black hole with nonzero cosmological constants
• Charged rotating black holes at large D
• Near-extremal black holes in Weyl gravity: Quasinormal modes and geodesic instability
• Strong Cosmic Censorship in Charged de Sitter spacetime with Scalar Field Non-minimally Coupled to Curvature
• (Anti-) de Sitter Electrically Charged Black Hole Solutions in Higher-Derivative Gravity
• Dynamical evolution of a vector field perturbation coupling to Einstein tensor
• Charged scalar gravitational collapse in de Sitter spacetime
• The instability spectra of near-extremal Reissner-Nordström-de Sitter black holes
• The origin of the Reissner-Nordström de Sitter instability
• Strong Cosmic Censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions
• Is there a mode stability paradox for neutrino perturbations of Kerr black holes?
• Classical stability of black holes under massless Dirac perturbations
• Black holes, multiple propagation speeds, and energy extraction
• Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetime
• Exact charged black hole solutions in D-dimensions in f(R) gravity
• Superradiant instability of extremal brane-world Reissner-Nordström black holes to charged scalar perturbations
• Superradiance and instabilities in black holes surrounded by anisotropic fluids
• Numerical study on the robustness of the stability for stable black holes