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arXiv · 2005.06677

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

De-Cheng Zou·Yun Soo Myung
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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 $\alpha>0$ inspired by the constant scalar hairy black hole as well as infinite branches of $n=0(\alpha \ge 8.019),1(\alpha \ge 40.84),2(\alpha \ge 99.89),\cdots$ scalarized charged black holes found through the spontaneous scalarization on the Reissner-Nordstr\"om 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.

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De-Cheng Zou, Yun Soo Myung. 2020-05-14. Radial perturbations of the scalarized black holes in Einstein-Maxwell-conformally coupled scalar theory. https://doi.org/10.1103/physrevd.102.064011

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