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Gödel and Gödel-type universes in k-essence theory

Abstract

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.

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Acknowledgements

This work by A. F. S. is supported by CNPq projects 308611/2017-9 and 430194/2018-8; J. G. da Silva thanks CAPES for financial support.

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Correspondence to A. F. Santos.

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da Silva, J.G., Santos, A.F. Gödel and Gödel-type universes in k-essence theory. Eur. Phys. J. Plus 135, 22 (2020). https://doi.org/10.1140/epjp/s13360-019-00065-4

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