1992/11/10 by N. Mohammedi
Physics and Astronomy · #gr-qc #hep-th
published as Mod.Phys.Lett. A9 (1994) 875-884 · 11 pages, Latex file
arxiv created 1992/11/10 · arxiv updated 2009/11/30
We describe the geomety of a set of scalar fields coupled to gravity. We consider the formalism of a differential Z2-graded algebra of 2× 2 matrices whose elements are differential forms on space-time. The connection and the vierbeins are extended to incorporate additional scalar and vector fields. The resulting action describes two universes coupled in a non-minimal way to a set of scalar fields. This picture is slightly different from the description of general relativity in the framework of non-commutative geomety.