Correspondence between new agegraphic dark energy and Bose-Einstein condensate dark matter in the context of \(f(T)\) gravity

TL;DR

This paper explores a cosmological model within $f(T)$ gravity where dark energy is modeled as new agegraphic and dark matter as Bose-Einstein condensate, analyzing their interaction and cosmic evolution.

Contribution

It introduces a novel interaction model between agegraphic dark energy and BEC dark matter within $f(T)$ gravity, including stability and observational consistency analysis.

Findings

Cosmological parameters vary with redshift as predicted by the model.

The model's density parameters align with observational data.

Universe stability is confirmed within the proposed framework.

Abstract

In this paper, we investigate the cosmic evolution within the framework of $f(T)$ gravity using a flat-FRW background and model the universe as consisting of three components: baryonic matter, dark matter, and dark energy. We consider the new agegraphic (NA) as an alternative for dark energy and the Bose-Einstein condensation (BEC) as an alternative for dark matter. After that, first we obtain the Friedman equations and then we obtain the continuity equations in the presence of the interaction term between the dark components of the universe, where the interaction term represents the energy flow from dark matter to dark energy. In what follows, we plot the variation of the cosmological parameters of dark energy in terms of the redshift parameter by using the power-law cosmology. Finally, we investigate the evolution and stability of the universe and report the values of the density parameters of the universe components which confirm the present model with observational data.