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arXiv · 1904.09864

Stability of scalarized charged black holes in the Einstein-Maxwell-Scalar theory

Yun Soo Myung·De-Cheng Zou
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Abstract

We analyze the stability of scalarized charged black holes in the Einstein-Maxwell-Scalar (EMS) theory with quadratic coupling. These black holes are labelled by the number of $n=0,1,2,\cdots$, where $n=0$ is called the fundamental black hole and $n=1,2,\cdots$ denote the $n$-excited black holes. We show that the $n=0$ black hole is stable against full perturbations, whereas the $n=1,2$ excited black holes are unstable against the $s(l=0)$-mode scalar perturbation. This is consistent with the EMS theory with exponential coupling, but it contrasts to the $n=0$ scalarized black hole in the Einstein-Gauss-Bonnet-Scalar theory with quadratic coupling. This implies that the endpoint of unstable Reissner-Nordstr\"{o}m black holes with $\alpha>8.019$ is the $n=0$ black hole with the same $q$. Furthermore, we study the scalarized charged black holes in the EMS theory with scalar mass $m^2_\phi=\alpha/\beta$.

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Yun Soo Myung, De-Cheng Zou. 2019-04-19. Stability of scalarized charged black holes in the Einstein-Maxwell-Scalar theory. https://doi.org/10.1140/epjc%2Fs10052-019-7176-7

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