Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole

Abstract

We investigated the superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole which is recently inspired by Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)]. We found that the positive Gauss-Bonnet coupling consant $\alpha$ enhances the superradiance, while the negative $\alpha$ suppresses it. The condition for superradiant instability is proved. We also worked out the quasinormal modes (QNMs) of the charged Einstein-Gauss-Bonnet black hole and found that the real part of all the QNMs live beyond the superradiance condition and the imaginary parts are all negative. Therefore this black hole is superradiant stable. When $\alpha$ makes the black hole extremal, there are normal modes.

21 pages, 6 figures, references added

References in corpus (5)

• Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Charged scalar field instability between the event and cosmological horizons
• Quasinormal modes of the Dirac field in the novel 4D Einstein-Gauss-Bonnet gravity
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity

Cited by in corpus (7)

• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes
• Nonlinear magnetically charged black holes in 4D Einstein-Gauss-Bonnet gravity
• Black Hole Superradiance in the Presence of Lorentz Symmetry Violation
• 4D Einstein-Lovelock black holes: Hierarchy of orders in curvature
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
• Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime
• Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics