scholarly journals Massive charged Dirac fields around Reissner-Nordström black holes: Quasibound states and long-lived modes

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Yang Huang ◽  
Dao-Jun Liu ◽  
Xiang-hua Zhai ◽  
Xin-zhou Li
Keyword(s):  
Black Holes ◽  
Dirac Fields

scholarly journals Quasi-normal modes for Dirac fields in the Kerr–Newman–de Sitter black holes

2018 ◽  
Vol 16 (04) ◽  
pp. 449-524
Author(s):  
Alexei Iantchenko
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Zeeman Effect ◽  
Normal Modes ◽  
Outer Region ◽  
Dirac Field ◽  
Commun Math Phys ◽  
De Sitter ◽  
Dirac Fields ◽  
Math Phys

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.

DECAY OF MASSIVE DIRAC HAIRS ON BRANE-WORLD BLACK HOLES

2008 ◽  
Vol 17 (11) ◽  
pp. 2065-2078
Author(s):  
JILIANG JING ◽  
QIYUAN PAN ◽  
CHIKUN DING
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Decay Rate ◽  
Time Evolution ◽  
Wave Mode ◽  
Brane World ◽  
Late Time ◽  
Schwarzschild Black Hole ◽  
Dirac Fields

The late-time evolution of massive Dirac fields in the backgrounds of brane-world black holes is investigated. We find that the dumping exponent depends on both the multiple number of the wave mode and the mass of the Dirac fields, but almost does not depend on the parameter ϒ of the brane-world black holes. We also find that the decay rate of the asymptotic late-time tail is t-5/6. Our results show that the decay of massive Dirac hairs on brane-world black holes has the same behavior as that of the Schwarzschild black hole.

Black holes have ring of truth

Nature ◽  
2002 ◽  
Author(s):  
Philip Ball
Keyword(s):  
Black Holes
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