PDM Klein-Gordon particles in Som-Raychaudhuri cosmic string spacetime with space-like dislocation and a non-uniform magnetic field: spacetime associated degeneracies, vorticity-energy, and charge-energy correlations

TL;DR

This paper investigates how gravitational fields in a specific cosmic string spacetime affect the energy levels and degeneracies of Klein-Gordon particles, including those with position-dependent mass, revealing new correlations and degeneracies.

Contribution

It introduces the analysis of Klein-Gordon particles with and without position-dependent mass in a complex spacetime, highlighting new degeneracies and correlations caused by gravitational effects.

Findings

Discovery of spacetime associated degeneracies

Identification of vorticity-energy correlations

Revelation of charge-energy correlations

Abstract

We explicitly study and report the effects of the gravitational fields on the spectroscopic structure of Klein-Gordon (KG) particles in Som-Raychaudhuri cosmic string spacetime with space-like dislocation and a non-uniform magnetic field. We extend this study to include the effects of the gravitational fields on some position-dependent mass (PDM) KG-particles. As effects of the gravitational fields, we report new spacetime associated degeneracies, vorticity-energy correlations and charge-energy correlations. Such degeneracies and correlations are observed in the spectroscopic structure of both constant mass KG-particles and PDM KG-particles at hand.