Gravity without the metric, torsion and the cosmological-constant problem.

Details Gravity without the metric, torsion and the cosmological-constant problem. Gravity without the metric, torsion and the cosmological-constant problem.

Sep 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ncimb.112.1289m&link_type=abstract

Nuovo Cimento B, Vol. 112B, No. 9, p. 1289 - 1297

Mathematics

Logic

Gravitation Theory

Scientific paper

In the gravity without the metric formulation of Capovilla, Jacobson and Dell (1991), one can introduce a θ-term which corresponds to torsion in the SL(2,C) gauge-theoretical framework. Torsion induces a topological phase to the matter wave function in the Lorentzian sector and in a local Lorentz frame, where it appears momentarily to be at rest, this phase may be associated with wormhole charge when in the Euclidean sector torsion induces the formation of instanton-anti-instanton pairs in disjoint spaces leading to the formation of wormholes. This provides a link between Coleman's (1985) solution of the cosmological-constant problem and the acquirement of the topological phase to the matter wave function in the Lorentzian sector, which leads to the vanishing of the vacuum energy density. This circumvents the problem associated with wormholes and Euclidean cosmology.

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