On G\"odel-type Solution in Rastall's Gravity

TL;DR

This paper investigates G"odel-type solutions within Rastall's gravity, a modified theory of gravity where energy-momentum conservation is relaxed, exploring implications for quantum effects in curved spacetime.

Contribution

It provides the first analysis of G"odel-type solutions in Rastall's gravity, extending understanding of rotating universe models in this alternative gravity framework.

Findings

G"odel-type solutions exist in Rastall's gravity.

Implications for causality and quantum effects are discussed.

The solutions differ from those in General Relativity.

Abstract

Rastall's theory is a generalization of Einstein's equations in which the energy-momentum tensor is not a conserved quantity, its covariant derivative is proportional to the gradient of the Ricci scalar and this fact can be associated with quantum effects in curved space-time. In this work we will go study the Rastall's gravity in the context of the G\"odel-type universe.