Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes

Abstract

We investigate stability of the D-dimensional Reissner-Nordstrom-anti-de-Sitter metrics as solutions of the Einstein-Maxwell equations. We have shown that asymptotically anti-de Sitter black holes are dynamically stable for all values of charge and anti-de Sitter radius in $D=5,\mathrm{6...11}$ dimensional space-times. This does not contradict to dynamical instability of RN-AdS black holes found by Gubser in $\mathcal{N}=8$ gauged supergravity, because the latter instability comes from the tachyon mode of the scalar field, coupled to the system. Asymptotically AdS black holes are known to be thermodynamically unstable for some region of parameters, yet, as we have shown here, they are stable against gravitational perturbations.

9 pages, 2 tables, a lot of figures, RevTex

References in corpus (15)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity, Black Holes, and Quantum Field Theory
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
• Quasi-Normal Modes of Brane-Localised Standard Model Fields
• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Wave dynamics of a six-dimensional black hole localized on a tensional three-brane
• Electromagnetic quasinormal modes of D-dimensional black holes II
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
• Fermion excitations of a tense brane black hole
• Quasinormal mode characterization of evaporating mini black holes
• Quasi-normal modes of a black hole localized on a codimension-two brane of finite tension
• Quasinormal modes of black holes localized on the Randall-Sundrum 2-brane

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• Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole
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• Understanding Gravitational Entropy of Black Holes: A New Proposal via Curvature Invariants
• Tensorial perturbations and stability of spherically symmetric d-dimensional black holes in string theory
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
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• Superradiant stability of five and six-dimensional extremal Reissner-Nordstrom black holes
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• Classical and quantum temperature fluctuations via holography
• Strong gravitational lensing of a five-dimensional charged, equally rotating black hole with a cosmological constant
• Phase transition in black holes
• On the five-dimensional non-extremal Reissner-Nordström black hole: Retractions and scalar quasibound states
• Renormalization Group Flows in Non-Relativistic Holographic Effective Field Theories