Gravitational instability of simply rotating AdS black holes in higher dimensions

Abstract

We study the stability of AdS black hole holes rotating in a single two plane for tensor-type gravitational perturbations in $D>6$ space-time dimensions. First, by an analytic method, we show that there exists no unstable mode when the magnitude $a$ of the angular momentum is smaller than $r_h^2/R$ where $r_h$ is the horizon radius, and $R$ is the AdS curvature radius. Then, by numerical calculations of quasinormal modes, using the separability of the relevant perturbation equations, we show that an instability occurs for rapidly rotating black holes with $a>r_h^2/R$, although the growth rate is tiny (of order $10^{-12}$ of the inverse horizon radius). We give numerical evidences indicating that this instability is caused by superradiance.

17 pages

References in corpus (13)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Classical instability of Kerr-AdS black holes and the issue of final state
• (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
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Superradiant instability for black holes immersed in a magnetic field
• Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
• Superradiance and Instability of 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
• Perturbations and Stability of Higher-Dimensional Black Holes

Cited by in corpus (23)

• Quasinormal modes of test fields around regular black holes
• Instability of higher dimensional charged black holes in the de-Sitter world
• Charged scalar field instability between the event and cosmological horizons
• Ultraspinning instability of rotating black holes
• Black holes in a box: towards the numerical evolution of black holes in AdS
• Numerical study of superradiant instability for charged stringy black hole-mirror system
• Stability of Lovelock Black Holes under Tensor Perturbations
• Instabilities of Kerr-AdS_5 x S^5 Spacetime
• Instability of Rotating Anti-de Sitter Black Holes
• Superradiant instability of the charged scalar field in stringy black hole mirror system
• Black Hole Vacua and Rotation
• Bernstein spectral method for quasinormal modes of a generic black hole spacetime and application to instability of dilaton-de Sitter solution
• Bifurcation of Plasma Balls and Black Holes to Lobed Configurations
• Quasi-normal modes for doubly rotating black holes
• Multioscillating black holes
• Energy extraction from AdS black holes via superradiance
• Tensorial perturbations and stability of spherically symmetric d-dimensional black holes in string theory
• Stability analysis of Squashed Kaluza-Klein Black Holes with Charge
• Superradiance and black resonator strings encounter helical black strings
• The Yang-Mills duals of small AdS black holes
• Correspondence between quasinormal modes and grey-body factors in five-dimensional black holes
• Strong gravitational lensing of a five-dimensional charged, equally rotating black hole with a cosmological constant
• Exceptional Lines and Excitation of (Nearly) Double-Pole Quasinormal Modes: A Semi-Analytic Study in the Nariai Black Hole