Restrictions on curved cosmologies in modified gravity from metric considerations

TL;DR

This paper uses symmetry and consistency principles to constrain the form of Friedmann equations in curved space modified gravity models, with an application to loop quantum cosmology.

Contribution

It introduces a novel approach using symmetry considerations to derive constraints on modified gravity cosmologies in curved spaces.

Findings

Constraints on Friedmann equations in curved space models

Application to loop quantum cosmology

Insights into the structure of modified gravity theories

Abstract

This study uses very simple symmetry and consistency considerations to put constraints on possible Friedmann equations for modified gravity models in curved spaces. As an example, it is applied to loop quantum cosmology.