Global rotation

Details Global rotation Global rotation

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..649r&link_type=abstract

General Relativity and Gravitation, vol. 12, Aug. 1980, p. 649-664.

Mathematics

Logic

5

Astronomical Models, Cosmology, Galactic Rotation, Relativity, Metric Space, Null Zones, Space-Time Functions, Theorem Proving, Transport Properties, Vorticity

Scientific paper

Global rotation in cosmological models is defined on an observational basis. A theorem is proved saying that, for rigid motion, the global rotation is equal to the ordinary local vorticity. The global rotation is calculated in the space-time homogeneous class III models, with Godel's model as a special case. It is shown that, with the exception of Godel's model, the rotation in these models becomes infinite for finite affine parameter values. In some directions the rotation changes sign and becomes infinite in a direction opposite to the local vorticity. The points of infinite rotation are identified as conjugate points along the null geodesics. The physical interpretation of the infinite rotation is discussed, and a comparison with the behavior of the area distance at conjugate points is given.

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