D-dimensional torus as compact manifold and Kaluza-Klein cosmological model.

Details D-dimensional torus as compact manifold and Kaluza-Klein cosmological model. D-dimensional torus as compact manifold and Kaluza-Klein cosmological model.

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jmp....33.3117s&link_type=abstract

Journal of Mathematical Physics, Vol. 33, No. 9, p. 3117 - 3127

Mathematics

Mathematical Physics

5

Scientific paper

Singularity-free solutions of higher-dimensional Einstein field equations are obtained in the background of M4×TD manifold (M4 is a usual four-dimensional Friedmann- Robertson-Walker model and TD is a D-dimensional torus). Moreover, through dimensional reduction and one-loop quantum correction to scalar field, time-dependent cosmological constant Λ, effective gravitational constant Geff, and a fine-structure constant e/4π are derived in the effective four-dimensional theory using solutions of Einstein's equations. It is found that at late times Λ ≍ 0.

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