On non-commutative correction of the Gödel-type metric

Abstract

In this paper, we will study non-commutative corrections in the metric tensor for the Gödel-type universe, a model that has as its main characteristic the possibility of violation of causality, allowing therefore time travel. We also find that the critical radius in such a model, which eventually will determine the time travel possibility, is modified due to the non commutativity of spatial coordinates.