G\"{o}del solution in $f(R,T)$ gravity

TL;DR

This paper explores the G"{o}del universe within $f(R,T)$ gravity, showing that such solutions exist and providing insights into the cosmological constant problem.

Contribution

It demonstrates the existence of G"{o}del solutions in $f(R,T)$ gravity and offers a new perspective on the smallness of the cosmological constant.

Findings

G"{o}del solutions are compatible with $f(R,T)$ gravity.

Provides a potential approach to understanding the cosmological constant.

Extends the application of modified gravity theories to rotating universe models.

Abstract

In this paper we study G\"{o}del universe in the framework of $f(R,T)$ modified theories of gravity, where $R$ is the curvature scalar and $T$ the trace of the energy momentum tensor. We demonstrate that G\"{o}del solution occurs in this modified theory and still we suggest a path to understanding the smallness of the cosmological constant.