Finite Universe and Mach's Principle

Physics

Scientific paper

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Scientific paper

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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