Superradiant instability of the charged scalar field in stringy black hole mirror system

Abstract

It has been shown that the mass of the scalar field in the charged stringy black hole is never able to generate a potential well outside the event horizon to trap the superradiant modes. This is to say that the charged stringy black hole is stable against the massive charged scalar perturbation. In this paper we will study the superradiant instability of the massless scalar field in the background of charged stringy black hole due to a mirror-like boundary condition. The analytical expression of the unstable superradiant modes is derived by using the asymptotic matching method. It is also pointed out that the black hole mirror system becomes extremely unstable for a large charge $q$ of scalar field and the small mirror radius $r_m$.

5 pages, no figure, published version

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• 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
• Scalar clouds in charged stringy black hole-mirror system
• Scattering and absorption of a scalar field impinging on a charged black hole in the Einstein-Maxwell-dilaton theory
• Resonance Spectra of Caged Stringy Black Hole and Its Spectroscopy
• The spinning Kerr-black-hole-mirror bomb: A lower bound on the radius of the reflecting mirror
• Dyonic Reissner-Nordstrom Black Holes and Superradiant Stability
• Phase diagram of the charged black hole bomb system
• Boson stars and solitons confined in a Minkowski box
• Scalar Clouds and Quasinormal Modes