Radial perturbations of the scalarized black holes in Einstein-Maxwell-conformally coupled scalar theory

De-Cheng Zou; Yun Soo Myung

doi:10.1103/PhysRevD.102.064011

paper

Radial perturbations of the scalarized black holes in Einstein-Maxwell-conformally coupled scalar theory

arXiv:2005.06677 · doi:10.1103/PhysRevD.102.064011

Abstract

We perform the stability analysis for the scalarized charged black holes obtained from Einstein-Maxwell-conformally coupled scalar (EMCS) theory by employing the radial perturbations. The targeting black holes include a single branch of scalarized charged black hole with the coupling parameter $α > 0$ inspired by the constant scalar hairy black hole as well as infinite branches of $n = 0 (α \geq 8.019), 1 (α \geq 40.84), 2 (α \geq 99.89), \dots$ scalarized charged black holes found through the spontaneous scalarization on the Reissner-Nordström black hole. It turns out that the black hole in the single branch and the $n = 0$ black hole are stable against radial perturbations, while the $n = 1, 2$ excited black holes are unstable in the EMCS theory with both quadratic and exponential couplings.

arXiv comment1+25 pages, 11 figures, stablity analysis corrected, version to appear in PRD

Radial perturbations of the scalarized black holes in Einstein-Maxwell-conformally coupled scalar theory

Abstract

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