Noncommutative scalar field minimally coupled to gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Talk presented at the Workshop on Quantum Gravity and Noncommutative Geometry, 20-23 July 2004, Universidade Lus\'ofona, Lisbo

Scientific paper

10.1142/S0217732305017810

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.

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