Exact solutions of the Hyperextended Scalar Tensor theory with potential in the Bianchi type I model

TL;DR

This paper derives exact solutions for the Hyperextended Scalar Tensor theory with potential in Bianchi type I models, analyzing cases with power and exponential laws for the 3-volume and potential.

Contribution

It provides explicit solutions for the theory with specific functional forms, advancing understanding of anisotropic cosmological models.

Findings

Exact solutions for power-law 3-volume and potential

Exact solutions for exponential-law 3-volume and potential

Insights into anisotropic cosmological dynamics

Abstract

The Hyperextended Scalar Tensor theory with a potential is defined by three free functions: the gravitational function, the Brans-Dicke coupling function and the potential. Starting from the expression of the 3-volume and the potential as function of the proper time, we determine the exact solutions of this theory. We study two important cases corresponding to power and exponential laws for the 3-volume and the potential.