Analytic integrability of the Bianchi Class A cosmological models with 0<= k<1

TL;DR

This paper investigates the conditions under which Bianchi Class A cosmological models with 0<=k<1 are analytically integrable, extending previous studies focused on the case k=1.

Contribution

It characterizes the analytic integrability of Bianchi Class A models for the range 0<=k<1, filling a gap in the existing literature.

Findings

Identifies conditions for integrability in the specified models

Extends known results from the case k=1 to 0<=k<1

Provides a comprehensive characterization of integrability for these models

Abstract

There are many works studying the integrability of the Bianchi class A cosmologies with k=1. Here we characterize the analytic integrability of the Bianchi class A cosmological models when 0<= k<1.