Noncommutative models in patch cosmology

TL;DR

This paper explores noncommutative inflationary models within extended patch cosmology, deriving slow-roll expressions and analyzing effects across different energy regimes for scalar and tachyon fields.

Contribution

It introduces a generalized framework for noncommutative inflation in patch cosmology, including new slow-roll relations and consistency conditions for scalar and tensor perturbations.

Findings

Derived slow-roll expressions for noncommutative models

Provided consistency relations in UV and IR regimes

Analyzed effects of noncommutativity on inflationary observables

Abstract

We consider several classes of noncommutative inflationary models within an extended version of patch cosmological braneworlds, starting from a maximally invariant generalization of the action for scalar and tensor perturbations to a noncommutative brane embedded in a commutative bulk. Slow-roll expressions and consistency relations for the cosmological observables are provided, both in the UV and IR region of the spectrum; the inflaton field is assumed to be either an ordinary scalar field or a Born-Infeld tachyon. The effects of noncommutativity are then analyzed in a number of ways and energy regimes.