Noncommutative Corrections to the Robertson-Walker metric
High Energy Physics - Theory
2008-11-26 v1 General Relativity and Quantum Cosmology
Abstract
Upon applying Chamseddine's noncommutative deformation of gravity we obtain the leading order noncommutative corrections to the Robertson-Walker metric tensor. We get an isotropic inhomogeneous metric tensor for a certain choice of the noncommutativity parameters. Moreover, the singularity of the commutative metric at is replaced by a more involved space-time structure in the noncommutative theory. In a toy model we construct a scenario where there is no singularity at at leading order in the noncommutativity parameter. Although singularities may still be present for nonzero , they need not be the source of all time-like geodesics and the result resembles a bouncing cosmology.
Cite
@article{arxiv.0808.0943,
title = {Noncommutative Corrections to the Robertson-Walker metric},
author = {S. Fabi and B. Harms and A. Stern},
journal= {arXiv preprint arXiv:0808.0943},
year = {2008}
}
Comments
13 pages