On Non-Commutative Correction of the G\"odel-type Metric
General Relativity and Quantum Cosmology
2016-03-30 v1
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.
Keywords
Cite
@article{arxiv.1503.01391,
title = {On Non-Commutative Correction of the G\"odel-type Metric},
author = {S. C. Ulhoa and A. F. Santos and R. G. G. Amorim},
journal= {arXiv preprint arXiv:1503.01391},
year = {2016}
}