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Quasi-normal modes for Dirac fields in Kerr-Newman-de Sitter black holes

Published 30 Nov 2015 in math.SP, gr-qc, math-ph, math.AP, and math.MP | (1511.09233v3)

Abstract: We provide the full asymptotic description of the quasi-normal modes (resonances) in any strip of fixed width for Dirac fields in slowly rotating Kerr-Newman-de Sitter black holes. The resonances split in a way similar to the Zeeman effect. The method is based on the extension to Dirac operators of techniques applied by Dyatlov 2011, 2012 to the (uncharged) Kerr-de Sitter black holes. We show that the mass of the Dirac field does not have effect on the two leading terms in the expansions of resonances.

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