scholarly journals Perturbations and quasi-normal modes of black holes in Einstein–Aether theory

2007 ◽  
Vol 644 (2-3) ◽  
pp. 186-191 ◽  
Author(s):  
R.A. Konoplya ◽  
A. Zhidenko
Keyword(s):  
2006 ◽  
Vol 2006 (10) ◽  
pp. 006-006 ◽  
Author(s):  
George Koutsoumbas ◽  
Suphot Musiri ◽  
Eleftherios Papantonopoulos ◽  
George Siopsis

1999 ◽  
Vol 2 (1) ◽  
Author(s):  
Kostas D. Kokkotas ◽  
Bernd G. Schmidt
Keyword(s):  

1990 ◽  
Vol 7 (2) ◽  
pp. L47-L53 ◽  
Author(s):  
J W Guinn ◽  
C M Will ◽  
Y Kojima ◽  
B F Schutz

2010 ◽  
Vol 2010 (8) ◽  
Author(s):  
Hamid R. Afshar ◽  
Mohsen Alishahiha ◽  
Amir E. Mosaffa

2002 ◽  
Vol 148 ◽  
pp. 298-306 ◽  
Author(s):  
Yasunari Kurita ◽  
Masa-aki Sakagami
Keyword(s):  

2018 ◽  
Vol 16 (04) ◽  
pp. 449-524
Author(s):  
Alexei Iantchenko

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 in [Quasi-normal modes and exponential energy decay for the Kerr–de Sitter black hole, Commun. Math. Phys. 306(1) (2011) 119–163; Asymptotic distribution of quasi-normal modes for Kerr–de Sitter black holes, Ann. Henri Poincaré 13(5) (2012) 1101–1166] to the (uncharged) Kerr–de Sitter black holes. We show that the mass of the Dirac field does not have an effect on the two leading terms in the expansions of resonances. We give an expansion of the solution of the evolution equation for the Dirac fields in the outer region of the slowly rotating Kerr–Newman–de Sitter black hole which implies the exponential decay of the local energy. Moreover, using the [Formula: see text]-normal hyperbolicity of the trapped set and applying the techniques from [Asymptotics of linear waves and resonances with applications to black holes, Commun. Math. Phys. 335 (2015) 1445–1485; Resonance projectors and asymptotics for [Formula: see text]-normally hyperbolic trapped sets, J. Amer. Math. Soc. 28 (2015) 311–381], we give location of the resonance free band and the Weyl-type formula for the resonances in the band near the real axis.


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