Scalarized charged black holes with scalar mass term

De-Cheng Zou; Yun Soo Myung

doi:10.1103/PhysRevD.100.124055

paper

Scalarized charged black holes with scalar mass term

arXiv:1909.11859 · doi:10.1103/PhysRevD.100.124055

Abstract

We study the scalarized charged black holes in the Einstein-Maxwell-Scalar (EMS) theory with scalar mass term. In this work, the scalar mass term is chosen to be $m_{ϕ}^{2} = α / β$ , where $α$ is a coupling parameter and $β$ is a mass-like parameter. It turns out that any scalarized charged black holes are not allowed for the case of $β \leq 4.4$ with $q = 0.7 (M = 0.5, Q = 0.35)$ because this case implies the stable Reissner-Nodström (RN) black holes. In the massless limit of $β \to \infty$ , one recovers the case of the EMS theory. We note that the unstable RN black hole implies the appearance of scalarized charged black holes. The other unstable case of $β > 4.4$ with $q = 0.7$ allows us to obtain the $n = 0, 1, 2, \dots$ scalarized charged black holes for $α (β) \geq α_{th} (β)$ where $α_{th} (β)$ represents the threshold of instability for the RN black hole. Furthermore, it is shown that the $n = 0$ black hole is stable against radial perturbations, while the $n = 1$ black hole is unstable. This stability result is independent of the mass parameter $β$ .

18 pages, 8 figures, version to appear in PRD

Scalarized charged black holes with scalar mass term

Abstract

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