F(R) cosmology via Noether symmetry and lambda-Chaplygin Gas like model

TL;DR

This paper explores F(R) gravity theories using Noether symmetry, revealing a Lambda-like model with Chaplygin Gas characteristics that aligns well with observational data.

Contribution

It introduces a novel F(R) cosmological model incorporating Noether symmetry, linking it to Chaplygin Gas and providing viable cosmological parameters.

Findings

Model exhibits Lambda-like behavior with Chaplygin Gas energy density.

Effective equation of state parameter matches observational constraints.

Scale factor evolution consistent with current cosmological data.

Abstract

In this work, we consider F(R) alternative theories of gravity with an eye to Noether symmetry through the gauge theorem. For non-vacuum models, one finds {\Lambda} like gravity with energy density of Chaplygin Gas. We also obtain the effective equation of state parameter for corresponding cosmology and scale factor behavior with respect to cosmic time which show that the model provides viable EoS and scale factor with respect to observational data.