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We prove the consistency of the G\"{o}del metric with the Horava-Lifshitz gravity whose action involves terms with z=1, z=2 and z=3.
K. Gödel, Rev. Mod. Phys. 21
1949
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R. Arnowitt, S. Deser, C. W. Misner, The dynamics of general relativity, ”Gravitation: an introduction to current research”, ed. L. Witten (Wilew 1962), p. 227-264, gr-qc/0405109
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M. Visser, ”Status of Horava gravity: A personal perspective”, arXiv: 1103.5587
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M. Botta Cantcheff, N. Grandi, M. Sturla, Phys. Rev. D82, 124034 (2010), arXiv: 0906.0582
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