Polytropic Gas and Gravitational Thermodynamics

We mainly assume that our universe is locally rotationally symmetric (LRS) Bianchitype II and is filled with a combination of a polytropic gas and baryonic matter. Also, we consider the polytropic gas scenario as the unification of dark matter and dark energy. By making use of these assumptions, we investigate the first and second laws of gravitational thermodynamics on the apparent horizon.