A Dark Energy Model with Generalized Uncertainty Principle in the Emergent, Intermediate and Logamediate Scenarios of the Universe

TL;DR

This paper explores an interacting dark energy model based on the generalized uncertainty principle across various universe expansion scenarios, analyzing its behavior and key parameters through graphical methods.

Contribution

It extends previous work by considering interaction between dark energy and dark matter in emergent, intermediate, and logamediate universe models, analyzing their dynamics.

Findings

Dark energy behaves as quintessence in logamediate scenario.

Dark energy exhibits phantom behavior in emergent and intermediate scenarios.

The model's parameters align with observational data in different expansion phases.

Abstract

This work is motivated by the work of Kim et al (2008), which considered the equation of state parameter for the new agegraphic dark energy based on generalized uncertainty principle coexisting with dark matter without interaction. In this work, we have considered the same dark energy inter- acting with dark matter in emergent, intermediate and logamediate scenarios of the universe. Also, we have investigated the statefinder, kerk and lerk parameters in all three scenarios under this inter- action. The energy density and pressure for the new agegraphic dark energy based on generalized uncertainty principle have been calculated and their behaviors have been investigated. The evolu- tion of the equation of state parameter has been analyzed in the interacting and non-interacting situations in all the three scenarios. The graphical analysis shows that the dark energy behaves like quintessence era for logamediate expansion and phantom era for emergent and intermediate expansions of the universe.