Late-time evolution of charged massive Dirac fields in the Reissner-Nordstr\"om black-hole background

TL;DR

This paper investigates the late-time behavior of charged massive Dirac fields around Reissner-Nordström black holes, revealing inverse power-law decay and oscillatory tails with specific decay rates and phase shifts.

Contribution

It provides a detailed analysis of the late-time decay patterns of charged Dirac fields in RN black-hole backgrounds, highlighting new decay rates and phase shift effects.

Findings

Intermediate late-time tail decays as an inverse power-law without oscillations.

At very late times, the tail decays as t^{-5/6} with oscillations of period 2π/μ.

Long-term phase shifts modulate the oscillatory tail.

Abstract

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.