The generalized second law formulated from the variable equation of state parameter

Abstract

The generalized second law of thermodynamics (GSLT) is examined in the current work in the backdrop of Friedmann–Robertson–Walker universe. A digression from the standard Bekenstein–Hawking entropy formulation is considered. Two different modified forms of the entropy functions are studied. For the matter component, five well-known parameterizations of the equation of state parameter are taken into consideration. The diagrammatic representations of the rate of change of the entropy functions in the different models are presented. The outcomes suggest that the GSLT is valid in these models for certain choices of the parameters involved.