Dynamics of Tsallis Holographic Dark Energy Interaction in a Bianchi Type-V Universe with a Constant Deceleration Parameter

Abstract

In this study, we explore a universe characterized by Anisotropic and Homogeneous Bianchi Type-V geometry, filled with both Dark Matter (DM) and Dark Energy (DE) within the framework of General Theory of Relativity. We introduce an interaction between DM and DE, incorporating Tsallis generalized entropy. The field equations are solved using the constant deceleration parameter proposed by Berman (1983). The Equation of State (EoS) parameter of Tsallis Holographic Dark Energy (THDE) elucidates the current accelerated expansion of the universe, exhibiting Phantom-like and approaching $\Lambda {CDM}$. Additionally, we calculate the EoS parameter, Anisotropy Parameter, Deceleration Parameter, and Total Energy Density parameter. Our results align well with observational data.