Time-dependent scattering theory for charged Dirac fields on a Reissner–Nordström black hole

2010 ◽  
Vol 51 (10) ◽  
pp. 102504 ◽  
Author(s):  
Daudé Thierry
Keyword(s):  
Black Hole ◽  
Scattering Theory ◽  
Time Dependent ◽  
Dirac Fields

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

scholarly journals THE MILNE SPACETIME AND THE HADRONIC RINDLER HORIZON

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1379-1384 ◽  
Author(s):  
H. CULETU
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Time Dependent ◽  
Anisotropic Fluid ◽  
Direct Relation ◽  
Schwarzschild Black Hole ◽  
Black Hole Interior ◽  
Flat Metric ◽  
Shear Tensor ◽  
Hadronic Rindler Horizon

A direct relation between the time-dependent Milne geometry and the Rindler spacetime is shown. Milne's metric corresponds to the region beyond Rindler's event horizon (in the wedge t ≻ |x|). We point out that inside a Schwarzschild black hole and near its horizon, the metric may be Milne's flat metric. It was found that the shear tensor associated to a congruence of fluid particles of the RHIC expanding fireball has the same structure as that corresponding to the anisotropic fluid from the black hole interior, even though the latter geometry is curved.

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).

scholarly journals Time-dependent scattering theory on manifolds

2019 ◽  
Vol 277 (5) ◽  
pp. 1423-1468
Author(s):  
K. Ito ◽  
E. Skibsted
Keyword(s):  
Scattering Theory ◽  
Time Dependent

scholarly journals Quantum-Gravitational Trans-Planckian Energy of a Time-Dependent Black Hole

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1303
Author(s):  
A. J. Nurmagambetov ◽  
I. Y. Park
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Black Hole Solution ◽  
Energy Analysis ◽  
Scaling Behavior ◽  
Time Dependent ◽  
Higgs Potential ◽  
Rotating Black Hole ◽  
Basic Features

We continue our recent endeavor in which a time-dependent black hole solution of a one-loop quantum-corrected Einstein-scalar system was obtained and its near-horizon behavior was analyzed. The energy analysis led to a trans-Planckian scaling behavior near the event horizon. In the present work, the analysis is extended to a rotating black hole solution of an Einstein–Maxwell-scalar system with a Higgs potential. Although the analysis becomes much more complex compared to that of the previous, we observe the same basic features, including the quantum-gravitational trans-Planckian energy near the horizon.

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.

ENTROPY OF A NONSTATIC BLACK HOLE

2000 ◽  
Vol 15 (28) ◽  
pp. 1739-1747 ◽  
Author(s):  
LI XIANG ◽  
ZHAO ZHENG
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Time Dependent ◽  
Brick Wall ◽  
Two Dimensional ◽  
De Sitter ◽  
Wall Model ◽  
New Model ◽  
Brick Wall Model ◽  
Dynamical Degrees

We point out that the brick-wall model cannot be applied to the nonstatic black hole. In the case of a static hole, we propose a new model where the black hole entropy is attributed to the dynamical degrees of the field covering the two-dimensional membrane just outside the horizon. A cutoff different from the model of 't Hooft is necessarily introduced. It can be treated as an increase in horizon because of the space–time fluctuations. We also apply our model to the nonequilibrium and nonstatic cases, such as Schwarzschild–de Sitter and Vaidya space–times. In the nonstatic case, the entropy relies on a time-dependent cutoff.

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