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Godel Metrics with Chronology Protection in Horndeski Gravities

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arxiv 1801.00009 v2 pith:QS3FAFT7 submitted 2017-12-29 gr-qc hep-th

Wei-Jian Geng , Shou-Long Li , H. Lu , Hao Wei This is my paper
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keywords chronologyctcsexactgeneralmetricsprotectionrelativitysolutions
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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.

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