Charged superradiant instability in a spherical regular black hole

Yizhi Zhan; Hengyu Xu; Shao-Jun Zhang

doi:10.1140/epjc/s10052-024-13714-5

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 1315
https://doi.org/10.1140/epjc/s10052-024-13714-5

Regular Article - Theoretical Physics

Charged superradiant instability in a spherical regular black hole

Yizhi Zhan¹^,2, Hengyu Xu¹^,2 and Shao-Jun Zhang¹^,2^a

¹ Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, 310032, Hangzhou, China
² School of Physics, Zhejiang University of Technology, 310032, Hangzhou, China

^a sjzhang@zjut.edu.cn

Received: 4 November 2024
Accepted: 14 December 2024
Published online: 24 December 2024

Abstract

We examine the stability of a spherically symmetric regular black hole when subjected to perturbations from a charged scalar field. This particular black hole is constructed by deforming the Minkowski spacetime. It has been observed that the charged superradiant instability arises only within a specific range of the deformation parameter, potentially resulting in an instability growth rate with a maximum magnitude of approximately $Im (M ω) \sim 10^{- 3}$ $\text {Im} (M \omega ) \sim 10^{-3}$ . This growth rate significantly exceeds the instability identified in ABG black holes discussed in prior research, suggesting a notable timescale for detecting this phenomenon in astrophysical scenarios. Additionally, we conduct a thorough investigation into how the three parameters of the model influence the onset and intensity of the instability. Our analysis offers further insights into the possible emergence of this instability in spherical regular black holes and its association with the nonlinear effects of the electromagnetic field.

© The Author(s) 2024

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