Dynamical study of the empty Bianchi type I model in generalised scalar-tensor theory

TL;DR

This paper investigates the dynamics of the empty Bianchi type I cosmological model within generalized scalar-tensor theories, analyzing conditions for expansion and deceleration over time.

Contribution

It introduces a method to analyze the derivatives of metric functions and compares three theories for late-time relativistic behavior.

Findings

All three theories can approach relativistic behavior at late times.

Conditions for expansion and deceleration are identified.

The method provides insights into the dynamics of scalar-tensor cosmologies.

Abstract

A dynamical study of the generalised scalar-tensor theory in the empty Bianchi type I model is made. We use a method from which we derive the sign of the first and second derivatives of the metric functions and examine three different theories that can all tend towards relativistic behaviours at late time. We determine conditions so that the dynamic be in expansion and decelerated at late time.