Late-time evolution of charged massive Dirac fields in the Reissner-Nordström black-hole background

Details Late-time evolution of charged massive Dirac fields in the Reissner-Nordström black-hole background Late-time evolution of charged massive Dirac fields in the Reissner-Nordström black-hole background

2004-08-29

arxiv.org/abs/gr-qc/0408090v3

Phys.Rev. D72 (2005) 027501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 5 figures

Scientific paper

10.1103/PhysRevD.72.027501

The late-time evolution of the charged massive Dirac fields in the background of a Reissner-Norstr\"om (RN) black hole is studied. It is found that the intermediate late-time behavior is dominated by an inverse power-law decaying tail without any oscillation in which the dumping exponent depends not only on the multiple number of the wave mode but also on the field parameters. It is also found that, at very late times, the oscillatory tail has the decay rate of $t^{-5/6}$ and the oscillation of the tail has the period $2\pi/\mu$ which is modulated by two types of long-term phase shifts.

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