scholarly journals Scattering theory for Dirac fields inside a Reissner–Nordström-type black hole

2021 ◽  
Vol 62 (8) ◽  
pp. 081503
Author(s):  
Dietrich Häfner ◽  
Mokdad Mokdad ◽  
Jean-Philippe Nicolas
Keyword(s):  
Black Hole ◽  
Scattering Theory ◽  
Dirac Fields

CAN WE DIFFERENTIATE NEUTRINOS FROM ANTI-NEUTRINOS IN EVOLUTION OF MASSLESS DIRAC FIELDS IN SCHWARZSCHILD BLACK-HOLE BACKGROUND?

2006 ◽  
Vol 21 (07) ◽  
pp. 593-601
Author(s):  
JILIANG JING
Keyword(s):  
Black Hole ◽  
Decay Rate ◽  
Power Law ◽  
Quasinormal Modes ◽  
Tail Behavior ◽  
Schwarzschild Black Hole ◽  
Dirac Fields ◽  
Black Hole Background ◽  
Opposite Chirality

We study analytically the evolution of massless Dirac fields in the background of the Schwarzschild black hole. It is shown that although the quasinormal frequencies are the same for opposite chirality with the same |k|, we can differentiate neutrinos from anti-neutrinos in evolution of the massless Dirac fields provided we know both stages for the quasinormal modes and the power-law tail behavior since the decay rate of the neutrinos is described by t-(2|k|+1) while anti-neutrinos is t-(2|k|+3).

RESONANT FREQUENCIES OF CHARGED SCALAR AND DIRAC FIELDS IN KERR–NEWMAN BLACK-HOLE SPACE–TIME

2007 ◽  
Vol 16 (01) ◽  
pp. 81-92 ◽  
Author(s):  
JILIANG JING ◽  
QIYUAN PAN ◽  
XI HE
Keyword(s):  
Black Hole ◽  
Imaginary Part ◽  
Space Time ◽  
Charged Scalar ◽  
Resonant Frequencies ◽  
Dirac Fields ◽  
Quantum Numbers ◽  
Newman Black Hole

The resonant frequencies of the charged scalar and Dirac fields in the near extremal Kerr–Newman black hole are studied. It is found that the expressions of the resonant frequencies for the charged scalar and Dirac fields with purely real δ are different because the parameters qs are different and the imaginary part has opposing symbol for the two fields. It is also shown that the long-lived resonant frequencies depend on the angular quantum numbers l and m.

scholarly journals Reconsidering the black hole final state in Dirac fields

2005 ◽  
Vol 612 (1-2) ◽  
pp. 61-64 ◽  
Author(s):  
Xian-Hui Ge ◽  
You-Gen Shen
Keyword(s):  
Black Hole ◽  
Final State ◽  
Dirac Fields

EFFECT OF THE GENERALIZED UNCERTAINTY RELATION ON THE BLACK HOLE ENTROPY

2002 ◽  
Vol 17 (33) ◽  
pp. 2209-2219
Author(s):  
XIANG LI
Keyword(s):  
Black Hole ◽  
Uncertainty Relation ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Wall Model ◽  
Dirac Fields ◽  
Brick Wall Model ◽  
Generalized Uncertainty Relation ◽  
Klein Gordon ◽  
The Difference

The quantum entropies of the black hole, due to the massless Klein–Gordon and Dirac fields, are investigated by Rindler approximation. The difference from the brick wall model is that we take into account the effect of the generalized uncertainty relation on the state counting. The divergence appearing in the brick wall model is removed and the entropies proportional to the horizon area come from the contributions of the modes in the vicinity of the horizon. Here we take the units G=c=ℏ=kB=1.

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.

scholarly journals HAWKING RADIATION FOR SCALAR AND DIRAC FIELDS IN FIVE-DIMENSIONAL DILATONIC BLACK HOLE VIA ANOMALIES

2012 ◽  
Vol 21 (03) ◽  
pp. 1250030 ◽  
Author(s):  
RAMÓN BECAR ◽  
P. A. GONZÁLEZ
Keyword(s):  
Black Hole ◽  
Gauge Invariance ◽  
Scalar Fields ◽  
Two Dimensional ◽  
Massive Scalar ◽  
Dimensional Theory ◽  
Dirac Fields ◽  
Black Hole Background ◽  
Planck Distribution ◽  
Dilatonic Black Hole

We study massive scalar fields and Dirac fields propagating in a five-dimensional dilatonic black hole background. We expose that for both fields the physics can be described by a two-dimensional theory, near the horizon. Then, in this limit, by applying the covariant anomalies method we find the Hawking flux by restoring the gauge invariance and the general coordinate covariance, which coincides with the flux obtained from integrating the Planck distribution for fermions.

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.

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