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Superradiance and stability of the regularized 4D charged Einstein-Gauss-Bonnet black hole

Cheng-Yong ZhangDepartment of Physics and Siyuan Laboratory, Jinan University, Guangzhou, 510632, ChinaShao-Jun ZhangInstitute for Theoretical Physics and Cosmology, Zhejiang University of Technology, Hangzhou, 310023, ChinaPeng-Cheng LiCenter for High Energy Physics, Peking University, No.5 Yiheyuan Rd, Beijing, 100871, P. R. ChinaMinyong GuoCenter for High Energy Physics, Peking University, No.5 Yiheyuan Rd, Beijing, 100871, P. R. China
2020en
ABI

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A bstract We investigated the superradiance and stability of the regularized 4D charged Einstein-Gauss-Bonnet black hole which is recently inspired by Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)]. We found that the positive Gauss-Bonnet coupling constant α enhances the superradiance, while the negative α suppresses it. The condition for superradiant instability is proved. We also worked out the quasinormal modes (QNMs) of the charged Einstein-Gauss-Bonnet black hole and found that the real part of all the QNMs does not satisfy the superradiance condition and the imaginary parts are all negative. Therefore this black hole is stable. When α makes the black hole extremal, there are normal modes.

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