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

Taum WuthicharnHigh Energy Physics Theory Group, Department of Physics,Supakchai PonglertsakulDepartment of Physics, High Energy Physics Theory Group, Faculty of Science, Chulalongkorn University, Phyathai Rd. Bangkok 10330, ThailandPiyabut BurikhamDepartment of Physics, High Energy Physics Theory Group, Faculty of Science, Chulalongkorn University, Phyathai Rd. Bangkok 10330, Thailand
2019en
ABI

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 P\"{o}schl-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}.

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