Analytical study of superradiant instability for five-dimensional Kerr-Gödel black hole

Abstract

We present an analytical study of superradiant instability of rotating asymptotically Gödel black hole (Kerr-Gödel black hole) in five-dimensional minimal supergravity theory. By employing the matched asymptotic expansion method to solve Klein-Gordon equation of scalar field perturbation, we show that the complex parts of quasinormal frequencies are positive in the regime of superradiance. This implies the growing instability of superradiant modes. The reason for this kind of instability is the Dirichlet boundary condition at asymptotic infinity, which is similar to that of rotating black holes in anti-de Sitter (AdS) spacetime.

16 pages, no figure, some disscusion added

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• Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
• The large-mass limit of cloudy black holes
• Superradiant instability of charged scalar fields in higher-dimensional Reissner-Nordström-de Sitter black holes
• Instability of Meridional Axial System in f(R) Gravity
• Numerical study of superradiant instability for charged stringy black hole-mirror system
• Spinning Kerr black holes with stationary massive scalar clouds: The large-coupling regime
• Boosted black string bombs
• Superradiant instability of the charged scalar field in stringy black hole mirror system
• Analytic treatment of the system of a Kerr-Newman black hole and a charged massive scalar field
• Superradiant instability of D-dimensional Reissner-Nordström black hole mirror system
• 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
• Stationary bound-state scalar configurations supported by rapidly-spinning exotic compact objects
• Superradiant instability of $D$-dimensional Reissner-Nordström-anti-de Sitter black hole mirror system
• Time evolutions of scalar field perturbations in $D$-dimensional Reissner-Nordström Anti-de Sitter black holes
• Superradiantly stable non-extremal Reissner-Nordstrom black holes
• Mass and angular momentum of charged rotating Gödel black holes in five-dimensional minimal supergravity