Bianchi type-III THDE quintessence model with hybrid expansion law

TL;DR

This paper develops a Bianchi type-III universe model with Tsallis holographic dark energy and quintessence, fitting observational data to describe accelerated cosmic expansion and exploring its geometric and physical properties.

Contribution

It introduces a new anisotropic Bianchi type-III THDE quintessence model with hybrid expansion law, fitting observational data and analyzing its physical and geometric features.

Findings

Model fits SNIa, CMB, BAO data with specific parameters.

Universe exhibits current accelerated expansion in the model.

Conformity established between quintessence scalar field and THDE model.

Abstract

The current research investigates the behavior of the Tsallis holographic dark energy (THDE) model with quintessence in a homogeneous and anisotropic Bianchi type-III (B-III) space-time. We construct the model by using two conditions (i) expansion scalar ($\theta$) is proportionate to shear scalar ($\sigma$) in the model and (ii) hybrid expansion law $a = t^\beta e^{\gamma t}$, where $\beta>0$, $\gamma>0$. Our study is based on Type Ia supernovae (SNIa) data in combination with CMB and BAO observations (Giostri et al, JCAP 3, 27 (2012), arXiv:1203.3213v2[astro-ph.CO]), the present values of Hubble constant and deceleration parameter are $H_{0} = 73.8$ and $q_{0} = -0.54$ respectively. Compiling our theoretical models with this data, we obtain $\beta = 2.1445~ \& ~ 2.1154$ for $\gamma = 0.5 ~ \& ~ 1$ respectively. We have completed a new type of cosmic model for which the expansion occurs to the current accelerated phase for the restraints. We have discussed the conformity among the scalar field model of quintessence and THDE model. To understand the Universe, we have also established the relations for Distance modulus, Luminosity Distance, and Angular-diameter distance. Some geometric and physical aspects of the THDE model are also highlighted.