Reconstructing $f(R)$ Theory from Ricci Dark Energy

TL;DR

This paper reconstructs the $f(R)$ gravity function from Ricci dark energy models, linking quantum gravity principles to cosmic acceleration, and explores how different parameters affect future behavior.

Contribution

It introduces a method to derive $f(R)$ functions from Ricci dark energy respecting holographic principles, highlighting parameter-dependent future dynamics.

Findings

Reconstructed $f(R)$ functions vary significantly with parameter $eta$.

The models predict different future cosmic behaviors.

The approach connects quantum gravity principles with modified gravity theories.

Abstract

In this letter, we regard the $f(R)$ theory as an effective description for the acceleration of the universe and reconstruct the function $f(R)$ from the Ricci dark energy, which respects holographic principle of quantum gravity. By using different parameter $\alpha$ in RDE, we show the behaviors of reconstructed $f(R)$ and find they are much different in the future.