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Eur.Phys.J.C, 82, 546 (2022)

Extremal charged black holes and superradiantly unstable quasinormal modes

Zhan-Feng Mai1, Run-Qiu Yang1 and Hong Lü1

Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.

mrhonglu@gmail.com

Abstract

It was recently shown that the extremal charged black holes in STU supergravity su er from superradiant instability owing to the existence of the unstable (low-frequency) qua sibound states associated with a charged massive scalar eld. In this paper, we show numerically that for some charge con gurations, these black holes can also excite the (higher-frequency) superradiantly unstable quasinormal modes. We find empirically that the unstable modes are closely related to having a volcano-shaped effective potential in the Schrodinger-like wave equation.

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Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China