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

Understand

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.