Thermodynamics in f(T) gravity with nonminimal coupling to matter

Abstract: In the present paper, we study the thermodynamics behavior of the field equations for the generalized f(T) gravity with an arbitrary coupling between matter and the torsion scalar. In this regard, we explore the verification of the first law of thermodynamics at the ap- parent horizon of the Friedmann-Robertson-Walker universe in two different perspectives namely the non-equilibrium and equilibrium de- scriptions of thermodynamics. Furthermore, we investigate the valid- ity of the second law of thermodynamics for both descriptions of this scenario with assumption that the temperature of matter inside the horizon is similar to that of horizon.