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

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• Weak cosmic censorship conjecture for the novel $4D$ charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
• Vacua in novel 4D Einstein-Gauss-Bonnet Gravity: pathology and instability?
• Observational Constraints on the Regularized 4D Einstein-Gauss-Bonnet Theory of Gravity
• Quark Stars in 4D Einstein-Gauss-Bonnet gravity with an Interacting Quark Equation of State
• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes
• Vacua and Exact Solutions in Lower-$D$ Limits of EGB
• 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
• Thermodynamics and Weak Cosmic Censorship Conjecture of 4D Gauss-Bonnet-Maxwell Black Holes via Charged Particle Absorption
• Canonical variational completion and 4D Gauss-Bonnet gravity
• Instability of regularized 4D charged Einstein-Gauss-Bonnet de-Sitter black holes
• Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
• Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime
• Cosmology and gravitational waves in consistent $D\to 4$ Einstein-Gauss-Bonnet gravity
• Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics
• Generalized gravitational phase transition in novel 4D Einstein-Gauss-Bonnet gravity