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Kaluza-Klein Theory with Torsion | | Karthik H. Shankar
; Kameshwar C. Wali
; | | Date: |
26 Apr 2009 | | Abstract: | In this paper, we consider a variant of the 5 dimensional Kaluza-Klein theory
that includes torsion. By imposing a set of constraints on torsion and Ricci
rotation coefficients, we show that the Ricci tensor in 5D corresponds exactly
to what one would obtain from torsion free general relativity on a 4D
hypersurface. That is, the contributions of the scalar and vector fields to the
Ricci tensor and the affine connections in the torsion free Kaluza Klein theory
are completely nullified by the components of torsion arising from the
constraints. As a consequence, geodesic motions and vacuum Einstein solutions
do not distinguish the torsion free 4D space-time from a hypersurface of 5D
space-time with torsion satisfying the constraints. However, non-vacuum
solutions from the formalism have important cosmological consequences such as
the emergence of dark energy that we explore qualitatively. | | Source: | arXiv, 0904.4038 | | Services: | Forum | Review | PDF | Favorites | |
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