Comment on Entropy in Two-dimensional Dilaton Gravity

TL;DR

This paper investigates the validity of the second law of thermodynamics in two-dimensional dilaton black holes during evaporation, using analytical and numerical methods to analyze entropy evolution.

Contribution

It provides a detailed analysis of entropy dynamics near infalling shells and extends the discussion to general models in two-dimensional dilaton gravity.

Findings

Second law holds near infalling shells analytically.

Second law holds far from shells numerically.

Implications discussed for general dilaton models.

Abstract

The thermodynamic second law in the evaporating black hole space-time is examined in the context of two-dimensional dilaton black hole. The dynamical evolution of entropy is investigated by using the analytical perturbation method and the numerical method. It is shown that the thermodynamic second law holds in the vicinity of infalling shell %analytically and in the region far from the infalling shell %numerically in the case of semi-classical CGHS model. The analysis of the general models is also presented and its implication is discussed.