Noncommutative Scalar Field Coupled to Gravity
arXiv:gr-qc/0207124 · doi:10.1103/PhysRevD.67.025001
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.
Revtex4, 6 pages. Final version to appear at Phys. Rev. D
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