Massive charged Dirac fields around Reissner-Nordstr\"om black holes: quasibound states and long-lived modes

TL;DR

This paper investigates massive charged Dirac fields around Reissner-Nordström black holes, revealing the existence of long-lived quasibound states despite the absence of superradiance, through numerical solutions of the Dirac equation.

Contribution

It provides the first detailed numerical analysis of quasibound states of charged Dirac fields in Reissner-Nordström backgrounds, highlighting long-lived modes.

Findings

Long-lived quasibound states exist without superradiance.

Frequencies of these states are obtained numerically.

Stationary solutions are excluded due to superradiance absence.

Abstract

The behavior of a massive charged test Dirac field in the background of a Reissner-Nordstr\"om black hole is investigated. Especially, we obtain the frequencies of quasibound states by solving the Dirac equation numerically both in time and frequency domain. Our results suggest that although the absence of superradiance excludes the existence of stationary solutions for massive Dirac fields, it is still possible to find arbitrarily long-lived solutions.