Behaviour of spin-1/2 particle around a charged black hole

TL;DR

This paper investigates the behavior of spin-1/2 particles around charged black holes, specifically Reissner-Nordstrom black holes, highlighting differences from uncharged cases and exploring phenomena like super-radiance.

Contribution

It extends the analysis of Dirac particles to charged black holes, incorporating electromagnetic interactions and examining the possibility of super-radiance.

Findings

Charge affects particle behavior compared to Schwarzschild black holes.

Super-radiance may occur in Reissner-Nordstrom black holes.

Electromagnetic interactions are crucial for charged particle dynamics.

Abstract

Dirac equation is separable in curved space-time and its solution was found for both spherically and axially symmetric geometry. But most of the works were done without considering the charge of the black hole. Here we consider the spherically symmetric charged black hole background namely Reissner-Nordstrom black hole. Due to presence of the charge of black-hole charge-charge interaction will be important for the cases of incoming charged particle (e.g. electron, proton etc.). Therefore both gravitational and electromagnetic gauge fields should be introduced. Naturally behaviour of the particle will be changed from that in Schwarzschild geometry. We compare both the solutions. In the case of Reissner-Nordstrom black hole there is a possibility of super-radiance unlike Schwarzschild case. We also check this branch of the solution.