Abstract
RECENTLY, Ozsváth and Schücking found an exact solution of Einstein's field equations of gravitation, which represents an instructive new model of a universe (finite rotating universe)1: Although in the entire cosmos matter is at rest relative to a suitably chosen co-ordinate system, nevertheless everywhere Coriolis forces do exist. This property of the Ozsváth–Schücking model is common to a solution already found by K. Gödel in 19492; whereas Gödel's solution represents a universe of infinite space extension and, besides, closed time-like world lines exist, the Ozsváth-Schücking model represents a spatially finite universe in which time-like world lines cut the closed space like hypersurfaces only once. Therefore, no reasons exist for excluding this model as physically meaningless.
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References
Ozsváth, I., and Schücking, E., Nature, 193, 1168 (1962).
Gödel, K., Phys. Rev., 21, 447 (1949).
Hönl, H., Z. Naturforsch., 8, a, 2 (1953). Dehnen, H., Hönl, H., and Westpfahl, K., Ann. der Phys. (7), 6, 370 (1960). Hönl, H., Physikertagung Wien, 1962, 88 (Physik-Verlag Mosbach).
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DEHNEN, H., HöNL, H. Finite Universe and Mach's Principle. Nature 196, 362–363 (1962). https://doi.org/10.1038/196362a0
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DOI: https://doi.org/10.1038/196362a0
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