Topological invariant in Riemann-Cartan manifold and space-time defects.

Details Topological invariant in Riemann-Cartan manifold and space-time defects. Topological invariant in Riemann-Cartan manifold and space-time defects.

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998ijtp...37.2953y&link_type=abstract

International Journal of Theoretical Physics, Vol. 37, No. 12, p. 2953 - 2964

Physics

2

Early Universe: Space-Time

Scientific paper

In a Riemann-Cartan manifold a topological invariant is constructed in terms of the torsion tensor. Using the φ-mapping method and the complete decomposition of the gauge potential, the topological invariant is extricated from a strong restrictive condition and is quantized in units of an elementary length. This topological invariant is linked to the first Chern class and its inner structure is labeled by a set of winding numbers. In the early universe, by extending to a gauge parallel basis in internal space and four analogous topological invariants, the space-time defects are formulated in an invariant form and are quantized naturally in units of the Planck length.

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