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Discrete Symmetry, Non-Commutative Geometry and Gravity

N. Mohammedi
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Abstract

We describe the geomety of a set of scalar fields coupled to gravity. We consider the formalism of a differential Z_2-graded algebra of $2\times 2$ 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.

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BibTeXRIS

N. Mohammedi. 1992-11-10. Discrete Symmetry, Non-Commutative Geometry and Gravity. https://arxiv.org/abs/gr-qc/9211015

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