Generalised second law of thermodynamics for interacting dark energy in the DGP brane world

TL;DR

This paper examines the validity of the generalized second law of thermodynamics in a DGP brane world model with interacting dark energy and dark matter, considering different cosmic horizons.

Contribution

It extends the GSLT analysis to a DGP brane world with interacting holographic dark energy and cold dark matter, under different horizon assumptions.

Findings

GSLT holds on the apparent horizon for both horizons.

GSLT may be violated on the event horizon depending on parameters.

Results support the thermodynamic consistency of the model.

Abstract

In this paper, we investigate the validity of the generalized second law of thermodynamics (GSLT) in the DGP brane world when universe is filled with interacting two fluid system: one in the form of cold dark matter and other is holographic dark energy. 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 FRW model and the validity of the first law has been assumed here.