Gödel and Gödel-type universes in k-essence theory
Instituto de Física, Universidade Federal de Mato Grosso, Cuiabá, Mato Grosso, 78060-900, Brazil
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Accepted: 15 October 2019
Published online: 7 January 2020
In this paper, the Gödel-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 Gödel and Gödel-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 Gödel-type solutions.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020