The nonstationary generalization of the Goedel cosmological model

Details The nonstationary generalization of the Goedel cosmological model The nonstationary generalization of the Goedel cosmological model

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..317a&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, April 1984, p. 317-323.

Mathematics

Logic

3

Cosmology, Einstein Equations, Relativity, Rotating Matter, Space-Time Functions, Unsteady State, Ideal Fluids, Tensor Analysis

Scientific paper

The cosmological model of Goedel (1949) is generalized to the case of a rotating universe, representing the solution of the Einstein equations with the perfect-fluid energy-momentum tensor in the comoving frame of reference. The nonstationary metrics of Agakov (1979), which satisfy the spatial-homogeneity-differential criterion and account for possible indefiniteness in the time-coordinate choice, are examined and shown to contain the Goedel-model generalization. The closed timelike curves of the generalized model are found to be noncircular and to have a minimum radius of the order of the radius of the stationary Einstein universe. More complete generalizations are to be sought in the class of spaces not satisfying the spatial-homogeneity-differential criterion.

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