Superradiance and instability of the charged Myers-Perry black holes in the Gödel Universe

Abstract

We consider scalar field perturbations of the asymptotically Gödel 5-dimensional charged rotating black holes with two equal angular momenta. It is shown that the spectrum of proper oscillations of the perturbation includes superradiant unstable modes. The reason for the instability is the confining Dirichlet boundary condition at the asymptotically far region of the Gödel Universe. The confining box makes superradiant modes extract rotational energy from the black hole and, after repeated reflections from the black hole, grow unboundedly. A similar instability takes place for rotating black holes in the asymptotically anti-de Sitter (AdS) space-time.

7 pages, 9 figures

References in corpus (17)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• An instability of higher-dimensional rotating black holes
• Classical instability of Kerr-AdS black holes and the issue of final state
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Instability of higher dimensional charged black holes in the de-Sitter world
• Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Catastrophic Instability of Small Lovelock Black Holes
• Superradiant instability for black holes immersed in a magnetic field
• General Non-extremal Rotating Charged Godel Black Holes in Minimal Five-Dimensional Gauged Supergravity
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Superradiance and Instability of Black Holes
• Stability of Lovelock Black Holes under Tensor Perturbations
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Quasinormal modes of charged squashed Kaluza-Klein black holes in the Gödel Universe
• Scalar emission in a rotating Gödel black hole
• Thermodynamics and Hawking radiation of five-dimensional rotating charged Gödel black holes

Cited by in corpus (19)

• Superradiant instabilities of rotating black holes in the time domain
• Stimulated axion decay in superradiant clouds around primordial black holes
• Numerical study of superradiant instability for charged stringy black hole-mirror system
• Hawking radiation and propagation of massive charged scalar field on a three-dimensional Gödel black hole
• Superradiant instability of charged massive scalar field in Kerr-Newman-anti-de Sitter black hole
• Superradiant instability of the charged scalar field in stringy black hole mirror system
• Superluminal neutrinos and the tachyon's stability in the rotating Universe
• Time domain analysis of superradiant instability for the charged stringy black hole-mirror system
• Stability of charged black holes in string theory under charged massive scalar perturbations
• Analytical study of superradiant instability for five-dimensional Kerr-Gödel black hole
• Superradiance and instability of small rotating charged AdS black holes in all dimensions
• Superradiant energy extraction from rotating hairy Horndeski black holes
• Time evolutions of scalar field perturbations in $D$-dimensional Reissner-Nordström Anti-de Sitter black holes
• First-order perturbations of Gödel-type metrics in non-dynamical Chern-Simons modified gravity
• Holographic description of three dimensional Godel black hole
• Stability of tardyons and tachyons in the rotating and expanding Universe
• Reduced thermodynamics and an exact phase transition of five-dimensional Kerr-AdS black holes with equal spin parameters
• Stability of rapidly-rotating charged black holes in $Ad{S}_5\times S^5$
• Mass and angular momentum of charged rotating Gödel black holes in five-dimensional minimal supergravity