Quantum dynamics of scalar particles in the space-time of a cosmic string in the context of gravity's rainbow

TL;DR

This paper investigates how scalar particles behave in a cosmic string space-time within gravity's rainbow framework, providing exact solutions and analyzing energy spectra for different potentials and rainbow functions.

Contribution

It presents exact solutions to the Klein-Gordon equation in a cosmic string background under gravity's rainbow, exploring the effects of different rainbow functions on particle dynamics.

Findings

Energy spectra depend on the choice of rainbow functions.

Exact solutions are obtained for two types of potentials.

The results show significant modifications to particle behavior due to gravity's rainbow.

Abstract

We analyze the dynamics of scalar particles in gravity's rainbow considering the space-time of a cosmic string in this modified gravity. Thus, we solve the Klein-Gordon equation for two types of potential in which two possible rainbow functions are selected. In all cases studied we obtain exact solutions for the wave equation, derive the energy spectrum, analyze it in detail and discuss the dependence of the results with the choice of the rainbow functions.