Mathematics
Scientific paper
Jun 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..511k&link_type=abstract
General Relativity and Gravitation, vol. 9, June 1978, p. 511-517.
Mathematics
13
Big Bang Cosmology, Gravitation Theory, Relativity, Singularity (Mathematics), Einstein Equations, Random Processes, Spin, Statistical Distributions
Scientific paper
The Einstein-Cartan theory of gravitation ('general relativity with spin') provides a specific spin-spin contact interaction of matter, in addition to the usual long-range gravity. This new interaction prevents singularities in cosmological models. It is shown how this mechanism works in the case when the standard Einstein-Cartan equations are valid at a microphysical level, and some spin-spin terms remain from the averaging procedure for randomly distributed spins. In contrast with the case of aligned spin distributions, it is possible to take over the isotropic and spatially homogeneous (i.e., Friedmannian) models into the Einstein-Cartan theory. These models can be made free from singularity, thanks to the self-interaction of spinning fluid
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