Exact solutions of scalar bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects

TL;DR

This paper derives exact solutions for scalar bosons influenced by Aharonov-Bohm and Coulomb potentials within the gravitational fields of cosmic strings and monopoles, advancing understanding of quantum effects in topological defect spacetimes.

Contribution

It provides new exact solutions for scalar bosons in complex topological defect backgrounds with electromagnetic potentials, combining quantum mechanics and general relativity.

Findings

Exact solutions for scalar bosons in topological defect spacetimes.

Analysis of combined Aharonov-Bohm and Coulomb effects.

Insights into quantum behavior near cosmic strings and monopoles.

Abstract

In this paper, we analyzed the relativistic quantum motion of a charged scalar particles in the presence of a Aharonov Bohm and Coulomb potentials in the spacetimes produced by an idealized cosmic strings and global monopoles.