Thermodynamics of Friedmann Equation and Masslike Function in General Braneworld

TL;DR

This paper derives the first law of thermodynamics and entropy formula for apparent horizons in general braneworld models with curvature corrections, exploring the thermodynamic properties and physical meanings of a masslike function.

Contribution

It extends thermodynamic analysis to general braneworld models with curvature corrections, providing explicit entropy formulas and analyzing the masslike function.

Findings

Derived the first law of thermodynamics on apparent horizons in braneworld models.

Explicitly formulated the entropy of apparent horizons in these models.

Analyzed the physical significance of the masslike function.

Abstract

Using the generalized procedure proposed by \emph{Wu et al}\cite{wu} recently, we construct the first law of thermodynamics on apparent horizon in a general braneworld model with curvature correction terms on the brane and in the bulk, respectively. The explicit entropy formulary of apparent horizon in the general braneworld is worked out. We also discuss the masslike function which associated with a new type first law of thermodynamics of the general braneworld in detail. We analyze the difference between the conventional thermodynamics and the new type thermodynamics on apparent horizon. At last, the discussions about the physical meanings of the masslike function have also been given.