Abstract
A simple group theoretic derivation is given of the family of space-time metrics with isometry group SO(2,1) × SO(2) × ℜ first described by Gödel, of which the Gödel stationary cosmological solution is the member with a perfect-fluid stress-energy tensor. Other members of the family are shown to be interpretable as cosmological solutions with an electrically charged perfect fluid and a magnetic field.
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Romano, A.E., Goebel, C. Letter: Gödel-Type Space-Time Metrics. General Relativity and Gravitation 35, 1857–1863 (2003). https://doi.org/10.1023/A:1026022416126
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DOI: https://doi.org/10.1023/A:1026022416126