Generalized entropy formalism and a new holographic dark energy model

TL;DR

This paper introduces a novel holographic dark energy model based on a generalized entropy combining Rényi and Tsallis entropies, using the holographic principle to explore cosmic evolution without mutual interactions.

Contribution

A new dark energy model derived from a combined generalized entropy and holographic principle, applied to a flat FRW universe, with promising cosmological behavior.

Findings

Cosmic evolution shows satisfactory behavior under the new model.

Hubble horizon serves as the IR cutoff without mutual interactions.

Generalized entropy formalism offers insights into spacetime properties.

Abstract

Recently, the R\'{e}nyi and Tsallis generalized entropies have extensively been used in order to study various cosmological and gravitational setups. Here, using a special type of generalized entropy, a generalization of both the R\'{e}nyi and Tsallis entropy, together with holographic principle, we build a new model for holographic dark energy. Thereinafter, considering a flat FRW universe, filled by a pressureless component and the new obtained dark energy model, the evolution of cosmos has been investigated showing satisfactory results and behavior. In our model, the Hubble horizon plays the role of IR cutoff, and there is no mutual interaction between the cosmos components. Our results indicate that the generalized entropy formalism may open a new window to become more familiar with the nature of spacetime and its properties.