Quasi-normal modes for Dirac fields in Kerr-Newman-de Sitter black holes
Spectral Theory
2016-06-14 v3 General Relativity and Quantum Cosmology
Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1511.09233,
title = {Quasi-normal modes for Dirac fields in Kerr-Newman-de Sitter black holes},
author = {Alexei Iantchenko},
journal= {arXiv preprint arXiv:1511.09233},
year = {2016}
}
Comments
The paper repeats many arguments by Dyatlov