Noncommutative scalar field minimally coupled to gravity

TL;DR

This paper introduces a model for noncommutative scalar fields coupled to gravity using a generalized Moyal product, analyzing solutions in cosmological settings and finding negligible effects during inflation.

Contribution

It proposes a new noncommutative scalar field model coupled to gravity and explores its cosmological solutions up to first-order perturbations.

Findings

Solutions compatible with homogeneous and isotropic cosmologies are found.

Noncommutativity has no observable effect during slow-roll inflation.

The model extends previous noncommutative field theories to gravitational contexts.

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.