Holographic dark energy and validity of the generalized second law of thermodynamics in the dgp brane world

TL;DR

This paper examines whether the generalized second law of thermodynamics holds in a DGP brane world universe with holographic dark energy, considering different horizons and assuming the first law of thermodynamics.

Contribution

It analyzes the validity of the generalized second law in a DGP brane world with holographic dark energy and different horizon choices.

Findings

The generalized second law holds on the apparent horizon.

The law's validity depends on the horizon type and model parameters.

The first law of thermodynamics is assumed to be valid.

Abstract

In this paper, we investigate the validity of the generalized second law of thermodynamics of the universe in the DGP brane world.The boundary of the universe is assumed to be enclosed by the dynamical apparent horizon or the event horizon. The universe is chosen to be homogeneous and isotropic and the validity of the first law has been assumed here. The matter in the universe is taken in the form of non-interacting two fluid system- one component is the holographic dark energy model and the other component is in the form of dust.