Computer Science
Scientific paper
Jul 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..695m&link_type=abstract
General Relativity and Gravitation, Volume 18, Issue 7, pp.695-699
Computer Science
2
Gravitation Theory:Space-Time, Relativity Theory:Kaluza-Klein Theory
Scientific paper
Starting with the hypothesis that space-time is locally embedded in a (4+n)-dimensiorial flat spaceM 4+n, a geometric Kaluza-Klein theory is derived withSO(10) gauge symmetry and an additional spin-2 field represented by the second fundamental formb ij . This quadratic form imposes a natural boundary on the complementary subspace orthogonal to the space-time, regarded as the internal space. The Gauss-Coddazi-Ricci equations are combined to produce low-energy field equations whereb i enters as a source field. High-energy dynamics are described by a continuum of space-time perturbations inM 4+ n induced byb ij , satisfying Einstein-Yang-Mills equations. The spaceM 4+n is regarded as a particular space representing the ground state of a more general theory yet to be constructed.
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