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Analysis on superradiant instability of charged dilaton Black Hole

2022/02/22 by Wen-Xiang Chen, Chen, Wen-Xiang, Y. G. Zheng +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2202.10722

openalex publication_date 2022/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this post, a new variable y(μ=yω) is added to extend the results of the above post. We derive a very compact resonance formulation. When y is a certain limit, the effective potential of the equation exists at the pole, and the potential well appears outside the event horizon, when e-4αΦ/(n-1)√α Q ≪ r+≪ 1 / ((4)/(n-1)y) , so charged dilator black hole is superradiatively unstable at this time.

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