Mathematics – Group Theory
Scientific paper
Feb 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..187s&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Feb. 1985, p. 187-201.
Mathematics
Group Theory
4
Conformal Mapping, Cosmology, Einstein Equations, Relativity, Unified Field Theory, Yang-Mills Theory, Gravitation Theory, Group Theory, Minkowski Space, Space-Time Functions, Symmetry, Tensor Analysis
Scientific paper
The maximal subgroups of the conformal group (which have in common as a subgroup the group of pure spatial rotations) are considered as isometry groups of conformally flat spacetimes, and the corresponding cosmological solutions of Einstein's field equations are identified. For each of them, the possibility that it could be generated by an SU(2) Yang-Mills field built, via the Corrigan-Fairlie-'t Hooft-Wilczek ansatz, from a scalar field identical with the square root of the conformal factor defining the space-time metric tensor is investigated. In particular, the Einstein cosmological model can be generated in this manner, but in the framework of strong gravity only, a micro-Einstein universe being then viewed as a possible model for a hadron.
Demaret Jacques
Sinzinkayo S.
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