Cylindrical solutions in Mimetic gravity

TL;DR

This paper explores cylindrical solutions in mimetic gravity, deriving explicit metrics like mimetic-Kasner, and discusses the need to revisit Kasner solutions under this modified gravity, including a no-go theorem with a cosmological constant.

Contribution

It provides explicit cylindrical solutions in mimetic gravity and introduces a no-go theorem for solutions with a cosmological constant.

Findings

Derived mimetic-Kasner metric solutions.

Reevaluated Kasner solutions in the context of mimetic gravity.

Established a no-go theorem for solutions with a cosmological constant.

Abstract

This paper is devoted to investigate cylindrical solutions in mimetic gravity. The explicit forms of the metric of this theory, namely mimetic-Kasner (say) have been obtained. In this study we have noticed that the Kasner's family of exact solutions needs to be reconsidered under this type of modified gravity. A no-go theorem is proposed for the exact solutions in the presence of a cosmological constant.