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arXiv 2201.12004gr-qc
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BTZ黑洞超辐射稳定性分析

Analysis on superradiant stability of BTZ Black Hole

Wen-Xiang Chen, Yao-Guang Zheng

摘要:

本文增加了一个新的变量y($μ^{\prime}=y(ω+m N^ϕ)$),推广了经典文献的结果.我们利用曲线积分的性质。当y大于某一极限时,方程的有效势无极点,则在事件视界外无势阱,此时$\sqrt{2(m^2)}/{ r^2_+}< ω< m\varOmega_H$,因此BTZ黑洞在当时是超辐射稳定的。

英文摘要:

This paper adds a new variable y($μ^{\prime}=y(ω+m N^ϕ)$) to extend the results of the classic paper. We exploit the properties of curve integrals. When y is greater than a certain limit, the effective potential of the equation has no pole, then there is no potential well outside the event horizon, when $\sqrt{2(m^2)}/{ r^2_+}< ω< m\varOmega_H$,so the BTZ black hole was superradiantly stable at that time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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