Thermodynamics and stability of $f(T,B)$ gravity with viscous fluid by observational constraints

Abstract

In this paper, we study the model of $f(T,B)$ gravity with viscous fluid in flat-FRW metric, in which $T$ and $B$ are torsion scalar and boundary term, respectively. We obtain the Friedmann equations in the framework of modified teleparallel gravity by tetrad components. We consider an interacting model between matter and dark energy so that universe dominates by viscous fluid. Then, we write the corresponding cosmological parameters in terms of the redshift parameter, and, we parameterize the Hubble parameter with experimental data. In what follows, we plot the corresponding cosmological parameters for dark energy components in terms of redshift, thereafter we investigate the accelerated expansion of the universe. Moreover, we discuss the stability of the model by using the sound speed parameter. Finally, we investigate the validity of the generalized second law of thermodynamics.

15 pages, 5 figures

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Cited by in corpus (10)

• Teleparallel Gravity: From Theory to Cosmology
• Observational constraints and some toy models in $f(Q)$ gravity with bulk viscous fluid
• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Dynamical complexity of the Teleparallel gravity cosmology
• Dynamical system analysis in teleparallel gravity with boundary term
• Observational constraints and stability in viscous $f(T,\mathcal{T})$ gravity
• Extended Bose-Einstein condensate dark matter in viscous Gauss-Bonnet gravity
• The interaction of extended Bose-Einstein condensate dark matter with viscous $f(T,B)$ gravity
• Viscous interacting and stability on dark matter Bose-Einstein condensation with modified Chaplygin gas
• Cosmological Constraints on f(T,B) Gravity from Observations of Early and Late Universe