The instability spectra of near-extremal Reissner-Nordström-de Sitter black holes

Abstract

The linearized dynamics of charged massive scalar fields in the near-extremal charged Reissner-Nordström-de Sitter (RNdS) black-hole spacetime is studied analytically. Interestingly, it is proved that the non-asymptotically flat charged black-hole-field system is characterized by {\it unstable} (exponentially growing in time) complex resonant modes. Using a WKB analysis in the eikonal large-mass regime $M\mu \gg 1$, we provide a remarkably compact analytical formula for the quasinormal resonant spectrum $\{{\omega }_n(M,Q,\Lambda ,\mu ,q){\}}_{n=0}^{n=\infty }$ which characterizes the unstable modes of the composed RNdS-black-hole-charged-massive-scalar-field system [here $\{M,Q,\Lambda \}$ are respectively the mass, electric charge, and cosmological constant of the black-hole spacetime, and $\{\mu ,q\}$ are the proper mass and charge coupling constant of the linearized field].

7 pages. This is an improved version of the one published in PLB

References in corpus (10)

• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Charged scalar field instability between the event and cosmological horizons
• Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
• Quasinormal modes of massive fermions in Kerr spacetime: Long-lived modes and the fine structure
• Numerical study of superradiant instability for charged stringy black hole-mirror system
• Superradiant instability of the charged scalar field in stringy black hole mirror system
• Superradiant instability of D-dimensional Reissner-Nordström black hole mirror system
• Scalar clouds in charged stringy black hole-mirror system
• Slowly decaying resonances of massive scalar fields around Schwarzschild-de Sitter black holes
• Resonance spectra of caged black holes

Cited by in corpus (11)

• Superradiant instability of charged scalar fields in higher-dimensional Reissner-Nordström-de Sitter black holes
• Circular Motion of Charged Particles near Charged Black Hole
• Black Hole Superradiance in the Presence of Lorentz Symmetry Violation
• Near-extremal black holes in Weyl gravity: Quasinormal modes and geodesic instability
• Quantum (dis)charge of black hole interiors
• The renormalized charged scalar current in the Reissner-Nordström-de Sitter spacetime
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Relaxation rate of RNdS black hole
• Scalar tachyonic instabilities in gravitational backgrounds: Existence and growth rate
• Reissner-Nordström black holes in de Sitter space-time: bounds with quasinormal frequencies
• Superradiance and instabilities in black holes surrounded by anisotropic fluids