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arXiv · 2202.10722

Analysis on superradiant instability of charged dilaton Black Hole

Wen-Xiang Chen·Yao-Guang Zheng
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Abstract

In this post, a new variable y($\mu=y\omega$) 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}^{-4\alpha \Phi /(n-1)}\sqrt{\alpha} Q \ll r_{+}\ll 1 / (\frac{4}{n-1}y) $, so charged dilator black hole is superradiatively unstable at this time.

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Wen-Xiang Chen, Yao-Guang Zheng. 2022-02-22. Analysis on superradiant instability of charged dilaton Black Hole. https://arxiv.org/abs/2202.10722

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