Gravity in Non-Commutative Geometry
高能物理 - 理论
2008-11-26 v3 广义相对论与量子宇宙学
摘要
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.
引用
@article{arxiv.hep-th/9209044,
title = {Gravity in Non-Commutative Geometry},
author = {A. H. Chamseddine and G. Felder and J. Fröhlich},
journal= {arXiv preprint arXiv:hep-th/9209044},
year = {2008}
}
备注
ZU-TH-30/1992 and ETH/TH/92/44, 11 pages. (The earlier version of this paper was the incomplete and unedited file which accidently replaced the corrected file)