Instability of Reissner-Nordström-AdS black hole under perturbations of a scalar field coupled to Einstein tensor

Abstract

We study the instability of a Reissner-Nordström-AdS (RNAdS) black hole under perturbations of a massive scalar field coupled to Einstein tensor. Calculating the potential of the scalar perturbations we find that as the strength of the coupling of the scalar to Einstein tensor is increasing, the potential develops a negative well outside the black hole horizon, indicating an instability of the background RNAdS. We then investigate the effect of this coupling on the quasinormal modes. We find that there exists a critical value of the coupling which triggers the instability of the RNAdS. We also find that as the charge of the RNAdS is increased towards its extremal value, the critical value of the derivative coupling is decreased.

18 pages, 6 figures

References in corpus (9)

• Covariant Galileon
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Black holes with non-minimal derivative coupling
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Black Holes in Bi-scalar Extensions of Horndeski Theories
• Charged Galileon black holes
• Black hole quasinormal modes in a scalar-tensor theory with field derivative coupling to the Einstein tensor
• Superradiant Amplification of a Scalar Wave Coupled Kinematically to Curvature Scattered off a Reissner-Nordström Black Hole

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