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Finite Rotating Universe

Nature volume 193, pages 1168–1169 (1962)Cite this article

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

  1. Gödel, K., Rev. Mod. Phys., 21, 447 (1949).

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  2. 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.

  3. Einstein, A., and Straus, G., Rev. Mod. Phys., 17, 120 (1945).

    Article  ADS  Google Scholar 

  4. Weyl, H., Raum-Zeit.-Materie, 5th ed. (Berlin, 1923).

    Book  Google Scholar 

  5. 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).

    Article  Google Scholar 

  6. Einstein, A., Philosopher–Scientist II, 688 (Harper, New York, 1959).

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  7. Gödel, K., Proc. Intern. Cong. Math., Cambridge, Mass, August 30–September 5, 1950, 1, 175 (1952); and personal communication.

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Authors and Affiliations

  1. Hamburger Sternwarte, Hamburg-Bergedorf, Western Germany

    I. OZSVÁTH & E. SCHÜCKING

Authors
  1. I. OZSVÁTH
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  2. E. SCHÜCKING
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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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