Thermodynamics in hybrid metric-Palatini gravity

We study the thermodynamic behavior of a hybrid metric-Palatini gravity, which consists of adding to the Einstein-Hilbert Lagrangian a f(R) term constructed within the framework of the Palatini formalism. Using the respective dynamically equivalent scalar tensor representation, we investigate the verification of the first law and the generalized second law (GSL) of thermodynamics on the dynamically apparent horizon. We also examine the validity of the GSL in a universe bounded by the cosmological event horizon filled with the perfect fluid in this modified gravity theory.