Spin 1/2 Particle Dynamics Near Reissner-Nordstrom Black Holes: Extremal and Non-Extremal Cases

TL;DR

This paper investigates the behavior of spin-1/2 particles near Reissner-Nordstrom black holes, providing exact solutions to the Dirac equation in these spacetimes, highlighting differences between extremal and non-extremal cases.

Contribution

It presents exact analytical solutions to the Dirac equation near Reissner-Nordstrom black holes, including extremal and non-extremal cases, and explores associated vector potentials.

Findings

Exact solutions of the Dirac equation obtained

Different vector potentials identified

Insights into fermion behavior near charged black holes

Abstract

In this work, the fermion behaviour near the Reissner-Nordstrom black holes in quantum mechanics is studied and exact solutions of the Dirac equation for Reissner-Nordstrom Black Holes are obtained in terms of special functions. We have obtained different vector potentials which satisfy the solutions.