A Dark Energy Model interacting with Dark Matter described by an effective EoS

TL;DR

This paper explores a dark energy model interacting with dark matter via an effective equation of state, analyzing different interaction types and their impact on cosmic evolution using statefinder diagnostics.

Contribution

It introduces a novel interaction framework between GUP-based dark energy and dark matter with an effective EoS, including sign-changeable interactions.

Findings

Analysis of the EoS parameter evolution.

Application of statefinder diagnostics to distinguish models.

Insights into the interaction effects on cosmic acceleration.

Abstract

In this latter author would like to consider interaction between a dark energy based on Generalized Uncertainty Principle (GUP) and a Dark Matter described by effective EoS: $P = (\gamma-1)\rho+p_{0}+\omega_{H}H+\omega_{H2}H^{2}+\omega_{dH}\dot{H}$ [1]-[3], which could be interpreted as a modification concerning to the some interaction between fluid $P=(\gamma-1)\rho$ with different components of the Darkness of the Universe. Two types of interaction, called sign-changeable, $Q=q(3Hb\rho_{m}+\beta\dot{\rho}_{m})$ [4],[5] and $Q=3Hb\rho_{m}+\beta\dot{\rho}_{m}$ are considered. EoS parameter of the mixture $\omega_{tot}$ are investigated. Statefinder diagnostics provided also.