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arXiv · 1503.01391

On Non-Commutative Correction of the G\"odel-type Metric

S. C. Ulhoa·A. F. Santos·R. G. G. Amorim
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Abstract

In this paper, we will study non-commutative corrections in the metric tensor for the G\"{o}del-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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S. C. Ulhoa, A. F. Santos, R. G. G. Amorim. 2015-03-04. On Non-Commutative Correction of the G\"odel-type Metric. https://doi.org/10.1007/s10714-015-1944-y

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