Scalar field instabilities in charged BTZ black holes

Abstract

We investigate the charged scalar field propagating in a (2+1) charged BTZ black hole. The conditions for stability are studied unveiling, for each black hole geometry, the existence of a critical scalar charge as of the evolution is unstable. The existence of growing profiles is substantiated by the deep in the effective potential that intensifies as the scalar charge increases. The phenomenum happens in every black hole geometry even for small geometry charge. In the small scalar charge regime, the field evolution is stable and in such we calculate the quasinormal modes.

3 figures, 5 panels, 15 pages

References in corpus (16)

• Black holes as particle detectors: evolution of superradiant instabilities
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Charged scalar field instability between the event and cosmological horizons
• Hawking radiation from (2+1)-dimensional BTZ black holes
• Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum
• Hairy black holes and the endpoint of AdS${}_4$ charged superradiance
• Absorption and quasinormal modes of classical fields propagating on 3D and 4D de Sitter spacetime
• Superradiant instability and charged scalar quasinormal modes for $2+1$-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
• Superradiance in the BTZ black hole with Robin boundary conditions
• Black hole superradiant instability for massive spin-2 fields
• Accelerating black hole in 2+1 dimensions and 3+1 black (st)ring
• Charged Accelerating BTZ black holes
• Dirac Quasinormal Modes of New Type Black Holes in New Massive Gravity
• Orbits of light rays in (1+2)-dimensional Einstein-power-Maxwell gravity: Exact analytical solution to the null geodesic equations
• Gauss-Bonnet black holes in (2+1) dimensions: Perturbative aspects and entropy features
• Aspects of regular and singular electromagnetic-generalized-quasitopological-gravities black holes in (2+1) dimensions

Cited by in corpus (5)

• Quasinormal Modes and GUP-Corrected Hawking Radiation of BTZ Black Holes within Modified Gravity Frameworks
• Quasinormal spectrum of $(2+1)$-dimensional asymptotically flat, dS and AdS black holes
• Quasinormal modes of charged BTZ black holes
• Lower dimensional black holes in nonlinear electrodynamics: causal structure and scalar perturbations
• Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes