G\"{o}del and G\"{o}del-type universes in K-essence theory
General Relativity and Quantum Cosmology
2019-10-18 v1
Abstract
In this paper, the G\"{o}del-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\"{o}del and G\"{o}del-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\"{o}del-type solutions.
Keywords
Cite
@article{arxiv.1910.07771,
title = {G\"{o}del and G\"{o}del-type universes in K-essence theory},
author = {J. G. da Silva and A. F. Santos},
journal= {arXiv preprint arXiv:1910.07771},
year = {2019}
}
Comments
13 pages, accepted for publication in EPJ Plus