Gravity in Non-Commutative Geometry

Details Gravity in Non-Commutative Geometry Gravity in Non-Commutative Geometry

1992-09-14

arxiv.org/abs/hep-th/9209044v3

Commun.Math.Phys.155:205-218,1993

Physics

High Energy Physics

High Energy Physics - Theory

ZU-TH-30/1992 and ETH/TH/92/44, 11 pages. (The earlier version of this paper was the incomplete and unedited file which accide

Scientific paper

10.1007/BF02100059

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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