Exact $f(R)$-cosmological model coming from the request of the existence of a Noether symmetry

TL;DR

This paper introduces an exact $f(R)$-cosmological model derived from Noether symmetry principles, capable of describing both decelerated and accelerated phases of the universe's expansion.

Contribution

It presents a novel $f(R)$-model with an exact solution based on Noether symmetry, bridging decelerated and accelerated cosmic phases.

Findings

Model describes a dust-dominated decelerated phase

Model transitions to current accelerated expansion

Exact analytic solution obtained from symmetry considerations

Abstract

We present an $f(R)$-cosmological model with an exact analytic solution, coming from the request of the existence of a Noether symmetry, which is able to describe a dust-dominated decelerated phase before the current accelerated phase of the universe.