Analytical Study of a Kerr-Sen Black Hole and a Charged Massive Scalar Field

Abstract

It is reported that Kerr-Newman and Kerr-Sen black holes are unstable to perturbations of charged massive scalar field. In this paper, we study analytically the complex frequencies which characterize charged massive scalar fields in a near-extremal Kerr-Sen black hole. For near-extremal Kerr-Sen black holes and for charged massive scalar fields in the eikonal large-mass $\mathcal{M}\gg \mu$ regime, where $\mathcal{M}$ is the mass of the black hole, and $\mu$ is the mass of the charged scalar field, we have obtained a simple expression for the dimensionless ratio ${\omega }_I/\left({\omega }_R-{\omega }_c\right)$, where ${\omega }_I$ and ${\omega }_R$ are, respectively, the imaginary and real parts of the frequency of the modes, and ${\omega }_c$ is the critical frequency for the onset of super-radiance. We have also found our expression is consistent with the result of Hod [Phys. Rev. D 94, 044036 (2016)] for the case of a near-extremal Kerr-Newman black hole and the result of Zouros and Eardly [Ann. Phys. (N.Y.) 118, 139 (1979)] for the case of neutral scalar fields in the background of a near-extremal Kerr black hole.

arXiv comment18 pages, no figures; v2: references are added, typos are corrected, to be published in Physical Review D. The reference list is slightly different from the journal version

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• Kerr-Sen-Taub-NUT spacetime and circular geodesics
• Charged scalar fields in a Kerr-Sen black hole: exact solutions, Hawking radiation, and resonant frequencies
• Pair production of scalars around near-extremal Kerr-Sen black holes
• Hidden conformal symmetry of the rotating charged AdS black holes in quadratic $f$($T$) gravity
• Absorption by stringy black holes
• Scattering by stringy black holes
• Decoherence of Dirac-particle quantumness for fermionic fields in a dilatonic black hole