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arXiv · hep-th/9209044

Gravity in Non-Commutative Geometry

A. H. Chamseddine·G. Felder·J. Fröhlich
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Abstract

We study general relativity in the framework of non-commutative differential geometry. In particular, we introduce a gravity action for a space-time which is the product of a four dimensional manifold by a two-point space. In the simplest situation, where the Riemannian metric is taken to be the same on the two copies of the manifold, one obtains a model of a scalar field coupled to Einstein gravity. This field is geometrically interpreted as describing the distance between the two points in the internal space.

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A. H. Chamseddine, G. Felder, J. Fröhlich. 1992-11-02. Gravity in Non-Commutative Geometry. https://doi.org/10.1007/bf02100059

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