On Non-Commutative Correction of the G\"odel-type Metric
Abstract
In this paper, we will study non-commutative corrections in the metric tensor for the G\"odel-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.
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