Barrow holographic dark energy: a path to reconstructing $f(R,T)$ gravity

TL;DR

This paper explores reconstructing $f(R,T)$ gravity models using Barrow holographic dark energy, analyzing different infrared cutoffs to understand their relationships and implications for modified gravity theories.

Contribution

It introduces a method to reconstruct $f(R,T)$ gravity from Barrow holographic dark energy, considering various infrared cutoffs, advancing the understanding of dark energy and modified gravity connections.

Findings

Numerical results for different infrared cutoffs are presented.

Reconstruction of $f(R,T)$ models is feasible using Barrow holographic dark energy.

Insights into the relationship between dark energy models and modified gravity theories.

Abstract

In this paper, we investigate one of the established methods for reconstructing modified gravity models from a dark energy model, with the aim of discovering relationships between these theories. In this study, we focus on the $f(R,T)$ modified gravity theory, where $R$ denotes the Ricci scalar and $T$ represents the trace of the energy-momentum tensor. We employ Barrow's holographic dark energy model, derived from fractal surfaces of black holes, to investigate the reconstruction process. The numerical results are subsequently presented for various infrared cutoffs, such as the Hubble horizon, future event horizon, and Granda-Oliveros cutoff.