# Cosmic string in gravity's rainbow

## TL;DR

This paper investigates cosmic string solutions within gravity's rainbow, analyzing their gravitational field equations and exact solutions, revealing unique features and limitations of these solutions compared to standard general relativity.

## Contribution

It introduces the study of cylindrical cosmic string solutions in gravity's rainbow, deriving new field equations and exploring their exact solutions, including the absence of quasi-Kasner solutions.

## Key findings

- Quasi-Kasner solutions cannot be realized in gravity's rainbow.
- Time-dependent vacuum cosmic strings differ significantly from standard GR solutions.
- Derived gravitational field equations for energy-dependent backgrounds.

## Abstract

In this paper, we study the various cylindrical solutions (cosmic strings) in gravity's rainbow scenario. In particular, we calculate the gravitational field equations corresponding to energy-dependent background. Further, we discuss the possible Kasner, quasi-Kasner and non-Kasner exact solutions of the field equations. In this framework, we find that quasi-Kasner solutions can not be realized in gravity's rainbow. Assuming only time-dependent metric functions, we also analyse the time-dependent vacuum cosmic strings in gravity's rainbow, which are completely different than the other GR solutions.