Noncommutative Scalar Field Coupled to Gravity
General Relativity and Quantum Cosmology
2009-11-07 v3 Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
A model for a noncommutative scalar field coupled to gravity is proposed via an extension of the Moyal product. It is shown that there are solutions compatible with homogeneity and isotropy to first non-trivial order in the perturbation of the star-product, with the gravity sector described by a flat Robertson-Walker metric. We show that in the slow-roll regime of a typical chaotic inflationary scenario, noncommutativity has negligible impact.
Cite
@article{arxiv.gr-qc/0207124,
title = {Noncommutative Scalar Field Coupled to Gravity},
author = {O. Bertolami and L. Guisado},
journal= {arXiv preprint arXiv:gr-qc/0207124},
year = {2009}
}
Comments
Revtex4, 6 pages. Final version to appear at Phys. Rev. D