Discrete Symmetry, Non-Commutative Geometry and Gravity

Details Discrete Symmetry, Non-Commutative Geometry and Gravity Discrete Symmetry, Non-Commutative Geometry and Gravity

1992-11-10

arxiv.org/abs/gr-qc/9211015v1

Mod.Phys.Lett. A9 (1994) 875-884

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, Latex file

Scientific paper

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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