Thermodynamics of Two-Dimensional Black-Holes

TL;DR

This paper analyzes the thermodynamics of a broad class of two-dimensional dilatonic black holes within a dilaton gravity framework. It introduces a simple boundary-term prescription for the on-shell action, separating contributions that yield the ADM mass and horizon entropy from those that determine charges and chemical potentials, and regularizes divergences by subtracting flat-space space. The authors apply the method to two main solutions, γ=4 and γ=2, obtaining explicit expressions for mass, entropy, and charges, and they show how loop effects induce a renormalization of the electric charge, yielding RN-like thermodynamic forms in appropriate limits. The work validates the thermodynamic relations (first law and related identities) in these 2D models and demonstrates consistency with known higher-dimensional results, while providing a clean, generalizable framework for 2D black-hole thermodynamics and dilaton-charge considerations.

Abstract

We explore the thermodynamics of a general class of two dimensional dilatonic black-holes. A simple prescription is given that allows us to compute the mass, entropy and thermodynamic potentials, with results in agreement with those obtained by other methods, when available.