Abstract
IN 1949, K. Gödel constructed the model of a spatially homogeneous rotating universe1. He gave an exact solution of Einstein's field equations with a negative lambda term for incoherent matter of positive density. His model was complete in the sense of differential geometry, that is, free of singularities. He showed that in his model the matter is rotating rigidly with constant non-vanishing angular velocity with respect to the local inertial compass of an observer moving with the matter. The light rays emitted by sources moving with the matter in the neighbourhood of the observer exhibit at his place the same angular velocity with respect to his inertial compass.
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References
Gödel, K., Rev. Mod. Phys., 21, 447 (1949).
The B refers to H. Bondi, who gave a similar formulation in his book Cosmology, p. 32 (Cambridge, 1952). The F refers to Föppl, who arrived at an analogous postulate.
Einstein, A., and Straus, G., Rev. Mod. Phys., 17, 120 (1945).
Weyl, H., Raum-Zeit.-Materie, 5th ed. (Berlin, 1923).
Dehnen, H., Hönl, H., and Westpfahl, K., Annalen Phys., 7, 6, 370 (1960). Soergel-Fabricius, Ch., Z. Phys., 161, 392 (1961). Hönl, H., and Soergel-Fabricius, Ch., Z. Phys., 163, 571 (1961).
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Gödel, K., Proc. Intern. Cong. Math., Cambridge, Mass, August 30–September 5, 1950, 1, 175 (1952); and personal communication.
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OZSVÁTH, I., SCHÜCKING, E. Finite Rotating Universe. Nature 193, 1168–1169 (1962). https://doi.org/10.1038/1931168a0
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DOI: https://doi.org/10.1038/1931168a0
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