Cosmology and the Noncommutative approach to the Standard Model

TL;DR

This paper explores how noncommutative geometry modifies Einstein's equations in cosmology, affecting homogeneous and inhomogeneous models, and discusses links to dilatonic and chameleon cosmologies with potential experimental implications.

Contribution

It analyzes the impact of noncommutative corrections on cosmological models, including background universes, and connects these findings to dilatonic and chameleon theories.

Findings

Noncommutative corrections affect inhomogeneous and anisotropic space-times.

Corrections to Einstein's equations also appear for background cosmologies with minimal coupling.

Potential experimental consequences are discussed.

Abstract

We study cosmological consequences of the noncommutative approach to the standard model. Neglecting the nonminimal coupling of the Higgs field to the curvature, noncommutative corrections to Einstein's equations are present only for inhomogeneous and anisotropic space-times. Considering the nominimal coupling however, we obtain corrections even for background cosmologies. A link with dilatonic gravity as well as chameleon cosmology are briefly discussed, and potential experimental consequences are mentioned.