Eur. Phys. J. Plus (2021) 136: 943
https://doi.org/10.1140/epjp/s13360-021-01905-y

Regular Article

Reconciling Tsallis holographic dark energy models in modified f(T, B) gravitational framework

¹ Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan
² Prince Mohammad Bin Fahd University, Khobar, Kingdom of Saudi Arabia

^a mzubairkk@gmail.com , drmzubair@cuilahore.edu.pk

Received: 21 July 2020
Accepted: 26 August 2021
Published online: 15 September 2021

Abstract

In the present paper, we execute a reconstruction of f(T, B) gravity model (where T is the torsion scalar and B is the boundary term) with reference to Tsallis holographic dark energy in flat Friedmann–Lemaitre–Robertson–Walker (FLRW) cosmology. Here, we consider two special classes of f(T, B) model and reconstruct their exact forms by taking power and hybrid expansion law’s de-Sitter case into account. The obtained solutions are then examined through the graphical analysis of EoS parameter and null energy bound for each model. It is concluded that all reconstructed models favor the current accelerated expansion regime by representing phantom cosmic epoch or de-Sitter model for different scenarios. Also, the graphical analysis of null energy condition indicates its validity only for one case, while for other cases it remains invalid. Furthermore, we explore the stability of these reconstructed models by applying a perturbation technique. It is found that the power law and de-Sitter solutions both show stable behavior against the introduced linear, isotropic and homogeneous perturbations.