Noncommutative scalar field minimally coupled to gravity
arXiv:gr-qc/0501058 · doi:10.1142/S0217732305017810
Abstract
A model for noncommutative scalar fields coupled to gravity based on the generalization of the Moyal product is proposed. Solutions compatible with homogeneous and isotropic flat Robertson-Walker spaces to first non-trivial order in the perturbation of the star-product are presented. It is shown that in the context of a typical chaotic inflationary scenario, at least in the slow-roll regime, noncommutativity yields no observable effect.
Talk presented at the Workshop on Quantum Gravity and Noncommutative Geometry, 20-23 July 2004, Universidade Lusófona, Lisbon, Portugal. To appear at Int. J. Mod. Phys. A