Noether symmetry in the Nash theory of gravity

TL;DR

This paper explores Bianchi type-I universe solutions within Nash gravity using Noether symmetry, revealing exact solutions and cosmological implications that align well with LambdaCDM predictions.

Contribution

It introduces exact solutions in Nash gravity for Bianchi type-I universe via Noether symmetry, a novel approach in this context.

Findings

Exact general solutions found for Bianchi type-I in Nash gravity.

Predictions compatible with LambdaCDM model.

Two viable cosmological scenarios discussed.

Abstract

This paper deals with the study of Bianchi type-I universe in the context of Nash gravity by using the Noether symmetry approach. We shortly revisit the Nash theory of gravity. We make a short recap of the Noether symmetry approach and consider the geometry for Bianchi-type I model. We obtain the exact general solutions of the theory inherently exhibited by the Noether symmetry. We also examine the cosmological implications of the model by discussing the two cases of viable scenarios. Surprisingly, we find that the predictions are nicely compatible with those of the LambdaCDM model.