Bahamonde, S; Zubair, M; Abbas, G; (2018) Thermodynamics and Cosmological Reconstruction in Gravity. Physics of the Dark Universe , 19 pp. 78-90. 10.1016/j.dark.2017.12.005.

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Abstract

Recently, it was formulated a teleparallel theory called gravity which connects both and under suitable limits. In this theory, the function in the action is assumed to depend on the torsion scalar and also on a boundary term related with the divergence of torsion, . In this work, we study different features of a flat Friedmann–Lemaître–Robertson–Walker (FLRW) cosmology in this theory. First, we show that the FLRW equations can be transformed to the form of Clausius relation , where is the horizon temperature and is the entropy which contains contributions both from horizon entropy and an additional entropy term introduced due to the non-equilibrium. We also formulate the constraint for the validity of the generalised second law of thermodynamics (GSLT). Additionally, using a cosmological reconstruction technique, we show that both and gravity can mimic power-law, de-Sitter and CDM models. Finally, we formulate the perturbed evolution equations and analyse the stability of some important cosmological solutions.

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