Universal thermodynamics in inhomogeneous FLRW-type model: Thermal equilibrium

Abstract

A study of the universal thermodynamics has been done for the inhomogeneous Friedmann–Lemaitre–Robertson–Walker type (FLRW-type) space-time model. Validity of the generalized second law of thermodynamics has been examined across an arbitrary horizon and integrability condition for the generalized Gibbs equation has been determined. Also, the conditions for thermodynamical equilibrium have been presented in a tabular form. Finally, using unified first law, the corrected Bekenstein entropy has been evaluated for both apparent and event horizons.