Dirac equation in Kerr-Taub NUT spacetime
Hakan Cebeci, Nulifer Ozdemir
TL;DR
This paper analyzes the Dirac equation in Kerr-Taub-NUT spacetime, deriving exact solutions for angular parts and exploring radial potentials, contributing to understanding fermionic behavior in this complex gravitational background.
Contribution
It provides exact analytical solutions for angular equations and investigates radial potentials in Kerr-Taub-NUT spacetime, a novel analysis in this context.
Findings
Exact solutions for angular equations in special cases
Radial wave equations with effective potentials
Potentials plotted as functions of radial distance
Abstract
We study Dirac equation in Kerr-Taub-NUT spacetime. We use Boyer-Lindquist coordinates and separate the resulting equations into radial and angular parts. We get some exact analytical solutions of the angular equations for some special cases. We also obtain the radial wave equations with an effective potential. Finally we discuss the potentials by plotting them as a function of radial distance in a physically acceptable region.
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