Dark energy and dust matter phases from an exact $f(R)$-cosmology model

TL;DR

This paper presents an exact $f(R)$ cosmological model demonstrating how dust matter and dark energy phases can be achieved, explaining the transition from deceleration to acceleration necessary for large-scale structure formation.

Contribution

It introduces a specific power law $f(R)$ model that captures the transition from dust-dominated to dark energy-dominated phases in cosmology.

Findings

Achieves dust and dark energy phases in an exact $f(R)$ solution.

Shows the necessity of a decelerated phase for structure formation.

Provides a model matching observed cosmic evolution.

Abstract

We show that dust matter-dark energy combined phases can be achieved by the exact solution derived from a power law $f(R)$ cosmological model. This example answers the query by which a dust-dominated decelerated phase, before dark-energy accelerated phase, is needed in order to form large scale structures.