Eur. Phys. J. Plus (2022) 137: 45
https://doi.org/10.1140/epjp/s13360-021-02238-6

Regular Article

Generalized tachyonic teleparallel gravity: cosmic and thermodynamic aspects

Department of Mathematics, COMSATS University Islamabad, Lahore-Campus, 54000, Lahore, Pakistan

^c drshamailarani@cuilahore.edu.pk

Received: 4 July 2021
Accepted: 24 November 2021
Published online: 20 December 2021

Abstract

We analyze the cosmological parameters and thermodynamics of a newly proposed generalized tachyonic teleparallel gravity whose action contains a non-minimal coupling of the teleparallel boundary term with a tachyonic scalar field in the generalized form. Three different Hubble parametric H(z) models are directly obtained through parameterized deceleration parameter (q) in terms of redshift parameter (z). For these models, we investigate the fractional matter density and fractional dark energy density through graphs and found their consistent values with recent Planck 2018 data. We also examine the equation of state parameter for each model which shows phantom phase of the universe in far future era, whereas lies in the range of cosmological constant and quintessence region of the universe for near future, present and past era. The phase plane lies in the freezing region of the accelerated universe, and indicates the stability of each model. In thermodynamic aspects, we examine the validity of generalized second law of thermodynamics by choosing logarithmic and power law entropy corrections for the Hubble horizon. We find out that this law is verified for each case of every model in each era.