Resonance spectra of caged black holes

Abstract

Recent numerical studies of the coupled Einstein-Klein-Gordon system in a cavity have provided compelling evidence that {\it confined} scalar fields generically collapse to form black holes. Motivated by this intriguing discovery, we here use analytical tools in order to study the characteristic resonance spectra of the confined fields. These discrete resonant frequencies are expected to dominate the late-time dynamics of the coupled black-hole-field-cage system. We consider caged Reissner-Nordström black holes whose confining mirrors are placed in the near-horizon region $x_{\text{m}}\equiv (r_{\text{m}}-r_{+})/r_{+}\ll \tau \equiv (r_{+}-r_{-})/r_{+}$ (here $r_{\text{m}}$ is the radius of the confining mirror and $r_{\pm }$ are the radii of the black-hole horizons). We obtain a simple analytical expression for the fundamental quasinormal resonances of the coupled black-hole-field-cage system: ${\omega }_n=-i2\pi T_{\text{BH}}\cdot n[1+O(x_{\text{m}}^n/{\tau }^n)]$, where $T_{\text{BH}}$ is the temperature of the caged black hole and $n=1,2,3,...$ is the resonance parameter.

5 pages

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Cited by in corpus (8)

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• Analytic treatment of the system of a Kerr-Newman black hole and a charged massive scalar field
• Spectroscopy of Rotating Linear Dilaton Black Holes From Boxed Quasinormal Modes
• 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
• Phase diagram of the charged black hole bomb system
• Boson stars and solitons confined in a Minkowski box