An Einstein-Gödel universe

Vaidya, P. C. (1978) An Einstein-Gödel universe General Relativity and Gravitation, 9 (9). pp. 801-807. ISSN 0001-7701

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The metric for the standard static Einstein model of the universe can be expressed in coordinates for which a congruence of spacelike world lines of the model will be twisting. A method of "shifting the twist" has been devised by which the twist on spacelike world lines is shifted onto the timelike world lines. The model universe then becomes Gödel's model. A combined Einstein-Gödel model containing a parameter εis obtained. Switching εfrom +1 to -1 will effect the shift of twist in the world lines and lead from the Einstein model to the Gödel model.

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