Are there causal vacuum solutions with the symmetries of the Gödel universe in higher-derivative gravity\?

Details Are there causal vacuum solutions with the symmetries of the Gödel universe in higher-derivative gravity\? Are there causal vacuum solutions with the symmetries of the Gödel universe in higher-derivative gravity\?

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..38.1083a&link_type=abstract

Physical Review D (Particles and Fields), Volume 38, Issue 4, 15 August 1988, pp.1083-1086

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A globally causal vacuum solution with the symmetries of the Gödel universe is obtained in the framework of higher-derivative gravity. This very peculiar and rare result has no similar one in standard general relativity. The Rebouças-Tiomno universe, i.e., the unique completely causal Gödel-type solution of Einstein's field equations with an algebraic Segrè characteristic [(1,11)1], is shown to be a special case of our solution. We also show that our model is an embedding of the three-dimensional anti-de Sitter universe in four-dimensional space-time.

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