Behaviour of spin-half particles in curved space-time

TL;DR

This paper investigates how spin-half particles, described by the Dirac equation, behave in various curved space-time geometries like Schwarzschild, Kerr, and Reissner-Nordström, highlighting modifications due to black hole presence.

Contribution

It analyzes the Dirac equation in different black hole geometries to understand the influence of curved space-time on spin-half particles.

Findings

Modified Dirac equations in black hole geometries

Altered particle behavior due to space-time curvature

Insights into quantum effects near black holes

Abstract

We study the behaviour of spin-half particles in curved space-time. Since Dirac equation gives the dynamics of spin-half particles, we mainly study the Dirac equation in Schwarzschild, Kerr, Reissner-Nordstr\"om geometry. Due to the consideration of existence of black hole in space-time (the curved space-time), particles are influenced and equation will be modified. As a result the solution will be changed from that due to flat space.