G\"odel and G\"odel-type universes in K-essence theory
Abstract
In this paper, the G\"odel-type solutions within the k-essence theory are investigated. The consistency of field equations, causality violation and existence of closed timelike curves are studied. The conditions for existence of G\"odel and G\"odel-type solutions are determined for any function that defines the k-essence. By taking different sources of matter, it is shown that this theory of gravity allows causal and non-causal G\"odel-type solutions.
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