# Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow

## TL;DR

This paper investigates how gravity's rainbow modifies the energy levels of the Dirac oscillator in cosmic string spacetime, revealing significant alterations compared to the standard case without rainbow effects.

## Contribution

It introduces a novel analysis of the Dirac oscillator within the gravity's rainbow framework in cosmic string spacetime, deriving modified energy levels.

## Key findings

- Energy levels are significantly altered by gravity's rainbow functions.
- Comparison shows deviations from the standard Dirac oscillator energy spectrum.
- Results are visualized and contrasted with the non-rainbow scenario.

## Abstract

In this paper we consider the Dirac oscillator in the context of Doubly General Relativity or Gravity's Rainbow. In order to obtain the energy levels of the Dirac oscillator, we solve the Dirac equation in the cosmic string spacetime modified by gravity's rainbow scenarios described by two rainbow functions. We then obtain that, as a consequence of the modification of the cosmic string line element by the two rainbow functions, the energy levels of the Dirac oscillator are appreciable altered. The results are plotted and compared with the standard case, without gravity's rainbow effects.