A new approach to reconstruction methods in $f(R)$ gravity

TL;DR

This paper introduces a novel reconstruction method for $f(R)$ gravity that utilizes cosmic parameters rather than a fixed time law, enabling the derivation of new cosmological solutions.

Contribution

It proposes a new approach based on cosmic parameters, expanding the set of possible solutions in $f(R)$ gravity research.

Findings

Derived new non-trivial cosmological solutions

Provided simple illustrative examples

Enhanced understanding of $f(R)$ gravity models

Abstract

We present a new approach of the reconstruction method based on the use of the cosmic parameters instead of a time law for the scale factor. This allows the derivation and analysis of a set of new non-trivial cosmological solutions for $f(R)$-gravity. A number of simple examples are given.