A Noncommutative Extension of Gravity
General Relativity and Quantum Cosmology
2011-04-20 v1
Abstract
The commutative algebra of functions on a manifold is extended to a noncommutative algebra by considering its tensor product with the algebra of nxn complex matrices. Noncommutative geometry is used to formulate an extension of the Einstein-Hilbert action. The result is shown to be equivalent to the usual Kaluza-Klein theory with the manifold SUn as an internal space, in a truncated approximation.
Cite
@article{arxiv.gr-qc/9307030,
title = {A Noncommutative Extension of Gravity},
author = {J. Madore and J. Mourad},
journal= {arXiv preprint arXiv:gr-qc/9307030},
year = {2011}
}
Comments
4 pages. Talk delivered at the 'journ\'ees Relativistes 93'