Analysis on superradiant stability of BTZ Black Hole

Abstract

This paper adds a new variable y(${\mu }^{\prime }=y(\omega +m{N}^{\varphi })$) 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 $\sqrt{2(m^2)}/r_{+}^2<\omega <m{\Omega }_H$,so the BTZ black hole was superradiantly stable at that time.

arXiv commentarXiv admin note: text overlap with arXiv:2103.04239; text overlap with arXiv:2005.10268 by other authors