Quasinormal Modes of Near-Extremal Black Holes and Black Strings in Massive Gravity Background

Abstract

Two numerical methods are used to calculate quasinormal modes (QNMs) of near-extremal black holes/strings in the generalized spherically/cylindrically symmetric background, the Asymptotic Iteration Method (AIM) and the Spectral Method. The numerical results confirm the accuracy of the approximate analytic formula using the Pöschl-Teller potential. Our analytic formula is used to investigate the Strong Cosmic Censorship conjecture of extremal and near-extremal black holes in Ref. \cite{Burikham:2020dfi}.

34 pages, 3 figures, 14 tables, split from arXiv: 2010.05879[gr-qc] as suggested by referee of EPJC

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