Reconstruction of f(T) and f(R) gravity according to (m,n)-type holographic dark energy

TL;DR

This paper reconstructs f(R) and f(T) gravity models based on a novel (m,n)-type holographic dark energy, demonstrating their viability, compatibility with solar system tests, and positive effective gravitational constants.

Contribution

It introduces a new (m,n)-type holographic dark energy model and reconstructs corresponding f(R) and f(T) gravity models, analyzing their physical viability and cosmographic properties.

Findings

Models are ghost free.

Models are compatible with solar system tests.

Models have an effective positive gravitational constant.

Abstract

Motivated by earlier works on reconstruction of modified gravity models with dark energy components, we extend them by considering a newly proposed model of (m, n)- type of holographic dark energy for two models of modified gravity, f(R) and f(T) theories, where R and T represent Ricci scalar and torsion scalar respectively. Specifically we reconstruct the two later gravity models and discuss their viability and cosmography. The obtained gravity models are ghost free, compatible with local solar system tests and describe effective positive gravitational constant.