Vanishing of the Cosmological Constant in Non-Abelian Kaluza-Klein Theories

Details Vanishing of the Cosmological Constant in Non-Abelian Kaluza-Klein Theories Vanishing of the Cosmological Constant in Non-Abelian Kaluza-Klein Theories

May 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ijtp...22..385k&link_type=abstract

International Journal of Theoretical Physics, Volume 22, Issue 5, pp.385-396

Physics

12

Scientific paper

We present a new approach to the unification of gravity and non-Abelian gauge fields in the framework of Kaluza-Klein theory. It consists in introducing a new connection on the ( n + 4)-dimensional manifold P (metrized principal fiber bundle). This connection is metrical, but with nonvanishing torsion. An enormous cosmological term in the Einstein equations vanishes due to this connection. The new connection simultaneously cancels Planck's mass term in the Dirac equation for the five-dimensional case. The usual interpretation of geodesic equations is still valid.

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