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Quasinormal Modes of Extremal BTZ Black Hole

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arxiv hep-th/0402048 v3 pith:MT4KXVJE submitted 2004-02-05 hep-th gr-qc

classification hep-thgr-qc
keywords blackmodesextremalfrequencyholeholesquasinormalshowed
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Motivated by several pieces of evidence, in order to show that extreme black holes cannot be obtained as limits of non-extremal black holes, in this article we calculate explicitly quasinormal modes for Ba\~{n}ados, Teitelboim and Zanelli (BTZ) extremal black hole and we showed that the imaginary part of the frequency is zero. We obtain exact result for the scalar an fermionic perturbations. We also showed that the frequency is bounded from below for the existence of the normal modes (non-dissipative modes).

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  1. Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes

    gr-qc 2026-03 conditional novelty 6.0 of 10

    For regular BTZ black holes from an infinite Lovelock tower, scalar quasinormal modes bifurcate from complex BTZ branches into purely imaginary branches as the regularization length ℓ grows, producing mode switching a...

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