Fatal Effects of Charges on Stability of Black Holes in Lovelock Theory
arXiv:1102.1785 · doi:10.1143/PTP.125.1289
Abstract
We study the stability of static spherically symmetric charged black holes under tensor type perturbations in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We derive the master equation for tensor type perturbations and present the criterions for the stability. Examining these criterions numerically, we show that a black hole with small charge has the instability if its mass is as small as extreme mass. Combined with our previous result that neutral black hole has no dynamical instability in odd dimensions, this result suggests that charges have fatal effects on black holes in Lovelock theory.
22 pages, 17 figures, using PTP format; v2: references added
References in corpus (15)
- A Note on Thermodynamics of Black Holes in Lovelock Gravity
- Smarr Formula and an Extended First Law for Lovelock Gravity
- Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
- The Lovelock Black Holes
- Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
- Galileons from Lovelock actions
- (In)stability of D-dimensional black holes in Gauss-Bonnet theory
- Higher order gravity theories and their black hole solutions
- Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
- Universal regularization prescription for Lovelock AdS gravity
- Astrophysical implications of hypothetical stable TeV-scale black holes
- Catastrophic Instability of Small Lovelock Black Holes
- Gravitational instability of simply rotating AdS black holes in higher dimensions
- Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
- Stability of Lovelock Black Holes under Tensor Perturbations
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- (In)stability of black holes in the 4D Einstein-Gauss-Bonnet and Einstein-Lovelock gravities
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- The portrait of eikonal instability in Lovelock theories
- Eikonal instability of Gauss-Bonnet-(anti-)de Sitter black holes
- Quasinormal modes of Gauss-Bonnet-AdS black holes: towards holographic description of finite coupling
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- BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock theory
- Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime
- Non-Minimal Einstein-Yang-Mills Black Holes: Fundamental Quasinormal Mode and Grey-Body factors versus Outburst of Overtones
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- Quasinormal Modes of Dilaton Black Holes: Analytic approximations
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- Superradiance and instability of the charged Myers-Perry black holes in the Gödel Universe
- Instability of Charged Lovelock Black Holes: Vector Perturbations and Scalar Perturbations
- Superradiance of charged black holes in Einstein-Gauss-Bonnet Gravity
- Quasinormal modes of black holes in 5D Gauss-Bonnet gravity combined with non-linear electrodynamics
- Overtones behavior of higher dimensional black holes in the Einstein-Gauss-Bonnet gravity
- AdS-like spectrum of the asymptotically Gödel space-times
- New solutions of exotic charged black holes and their stability
- Instability in charged Gauss-Bonnet-de Sitter black holes
- Black Holes and Wormholes in Higher-Curvature Corrected Theories of Gravity
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