The generalized second law of thermodynamics of the universe bounded by the event horizon and modified gravity theories

TL;DR

This paper examines the validity of the generalized second law of thermodynamics in a universe bounded by the event horizon within the framework of modified gravity theories, considering different cosmological models including perfect fluid, holographic, and two-fluid systems.

Contribution

It explores the generalized second law of thermodynamics in various cosmological models under f(R) gravity, extending previous analyses to modified gravity contexts.

Findings

The law holds in the homogeneous and isotropic universe with perfect fluid.

The law is valid in holographic universe models within f(R) gravity.

The two-fluid holographic dark energy and dust system also satisfies the law.

Abstract

In this paper, we investigate the validity of the generalized second law of thermodynamics of the universe bounded by the event horizon. Here we consider homogeneous and isotropic model of the universe filled with perfect fluid in one case and in another case holographic model of the universe has been considered. In the third case the matter in the universe is taken in the form of non-interacting two fluid system as holographic dark energy and dust. Here we study the above cases in the Modified gravity, f(R) gravity.