Generalized second law of thermodynamics in Gauss-Bonnet braneworld

TL;DR

This paper examines the validity of the generalized second law of thermodynamics in a Gauss-Bonnet braneworld model with curvature corrections, demonstrating that the law holds on the 3-brane within a 5D spacetime.

Contribution

It extends the thermodynamic analysis to a braneworld model with curvature corrections, deriving entropy expressions and confirming the generalized second law's validity.

Findings

The generalized second law is satisfied in the model.

Derived entropy expressions for apparent horizon and matter fields.

Confirmed thermodynamic consistency in Gauss-Bonnet braneworlds.

Abstract

We investigate the validity the generalized second law of thermodynamics in a general braneworld model with curvature correction terms on the brane and in the bulk, respectively. Employing the derived entropy expression associated with the apparent horizon, we examine the time evolution of the total entropy, including the derived entropy of the apparent horizon and the entropy of the matter fields inside the apparent horizon. We show that the generalized second law of thermodynamics is fulfilled on the 3-brane embedded in the 5D spacetime with curvature corrections.