Godel Metrics with Chronology Protection in Horndeski Gravities

TL;DR

This paper demonstrates that G"odel-type metrics with protected chronology can exist within Einstein-Horndeski gravity and related theories, offering new solutions that avoid closed time-like curves.

Contribution

It introduces exact G"odel-type solutions with chronology protection in Einstein-Horndeski and related theories, expanding the understanding of rotating universe models.

Findings

G"odel-type metrics with CTCs can be realized in Einstein-Horndeski gravity.

Constructed solutions in Einstein-Horndeski-Maxwell and Einstein-Horndeski-Proca theories.

Showed that these solutions can avoid the null energy condition issues of General Relativity.

Abstract

G\"odel universe, one of the most interesting exact solutions predicted by General Relativity, describes a homogeneous rotating universe containing naked closed time-like curves (CTCs). It was shown that such CTCs are the consequence of the null energy condition in General Relativity. In this paper, we show that the G\"odel-type metrics with chronology protection can emerge in Einstein-Horndeski gravity. We construct such exact solutions also in Einstein-Horndeski-Maxwell and Einstein-Horndeski-Proca theories.