Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model

Abstract

In this paper, we first obtain the energy density by the approach of the new agegraphic dark energy model, and then the $f(T,B)$ gravity model is studied as an alternative to the dark energy in a viscous fluid by flat-FRW background, in which $T$ and $B$ are torsion scalar and boundary term. The Friedmann equations will obtain in the framework of modified teleparallel gravity by tetrad components. We consider that the universe dominates with components such as matter and dark energy by an interacting model. The Hubble parameter is parameterized by the power-law for the scale factor, and then we fit the corresponding Hubble parameter with observational data constraints. The variation of the equation of state (EoS) for dark energy is plotted as a function of the redshift parameter, and the accelerated expansion of the universe is explored. In what follows, the stability of the model is also studied on the base of the sound speed parameter. Finally, the generalized second law of thermodynamics is investigated by entropies of inside and on the boundary of the apparent horizon in thermodynamics equilibrium.

18 pages, 6 figures. arXiv admin note: text overlap with arXiv:1908.11595

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• Qualitative Stability Analysis of Cosmological Parameters in $f(T,B)$ Gravity
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane
• Cosmological Tests of $f(R,G,T)$ Dark Energy Model in FRW Universe
• Configurational Entropy and braneworlds in f(T,B) gravity
• Observational constraints and stability in viscous $f(T,\mathcal{T})$ gravity
• The interaction of extended Bose-Einstein condensate dark matter with viscous $f(T,B)$ gravity
• Extended Bose-Einstein condensate dark matter in viscous Gauss-Bonnet gravity
• Viscous interacting and stability on dark matter Bose-Einstein condensation with modified Chaplygin gas
• String-like brane splitting in the context of $f(T,B)$ gravity
• Correspondence between particle creation and dark components interaction in the context of $f(\mathcal{G})$ gravity