$f(R)$ gravity and Tsallis holographic dark energy

TL;DR

This paper explores a modified gravity theory, $f(R)$, combined with Tsallis holographic dark energy, analyzing its cosmological implications through key equations like Friedmann and deceleration parameters.

Contribution

It introduces a novel dark energy model based on Tsallis entropy within the $f(R)$ gravity framework, extending previous holographic dark energy studies.

Findings

Derived modified Friedmann equations for the model

Analyzed the deceleration parameter indicating accelerated expansion

Explored the equation of state for dark energy in this context

Abstract

The $f(R)$ gravity theory is considered. It is a gravitational theory that generalizes the Einstein-Hilbert action. In this context, a holographic dark energy model is studied. Tsallis non-extensive entropy is used to introduce the dark energy density based on the holographic principle. Then the Friedmann equation, deceleration parameter, and equation of state for this model are investigated.