Dyonic Reissner–Nordstrom black holes and superradiant stability

Yi-Feng Zou; Jun-Huai Xu; Zhan-Feng Mai; Jia-Hui Huang

doi:10.1140/epjc/s10052-021-09642-3

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 855
https://doi.org/10.1140/epjc/s10052-021-09642-3

Regular Article - Theoretical Physics

Dyonic Reissner–Nordstrom black holes and superradiant stability

Yi-Feng Zou¹^,2, Jun-Huai Xu⁴, Zhan-Feng Mai⁵ and Jia-Hui Huang¹^,3^d

¹ Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, 510006, Guangzhou, People’s Republic of China
² Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, 510006, Guangzhou, People’s Republic of China
³ Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, 510006, Guangzhou, People’s Republic of China
⁴ School of Information and Optoelectronic Science and Technology, South China Normal University, 510006, Guangzhou, People’s Republic of China
⁵ Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Yaguan Road 135, Jinnan District, 300350, Tianjin, People’s Republic of China

^d huangjh@m.scnu.edu.cn

Received: 2 July 2021
Accepted: 8 September 2021
Published online: 29 September 2021

Abstract

Black holes immersed in magnetic fields are believed to be important systems in astrophysics. One interesting topic on these systems is their superradiant stability property. In the present paper, we analytically obtain the superradiantly stable regime for the asymptotically flat dyonic Reissner–Nordstrom black holes with charged massive scalar perturbation. The effective potential experienced by the scalar perturbation in the dyonic black hole background is obtained and analyzed. It is found that the dyonic black hole is superradiantly stable in the regime $0 < r_{-} / r_{+} < 2 / 3$ $0<r_{-}/r_{+}<2/3$ , where $r_{\pm}$ $r_\pm$ are the event horizons of the dyonic black hole. Compared with the purely electrically charged Reissner–Nordstrom black hole case, our result indicates that the additional coupling of the charged scalar perturbation with the magnetic filed makes the black hole and scalar perturbation system more superradiantly unstable, which provides further evidence on the instability induced by magnetic field in black hole superradiance process.

© The Author(s) 2021

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