Finite Rotating Universe

Computer Science

Scientific paper

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Scientific paper

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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