Thermodynamics of Charged BTZ Black Holes and Effective String Theory

TL;DR

This paper explores the thermodynamics of charged BTZ black holes, revealing a connection to string theory by modeling the horizons as thermodynamic systems analogous to string theory's right and left movers.

Contribution

It introduces a novel thermodynamic framework for charged BTZ black holes, linking horizon systems to string theory concepts and deriving their temperature relations.

Findings

The two horizon systems resemble right and left movers in string theory.

Black hole temperature is the harmonic mean of the horizon system temperatures.

The study extends thermodynamic analysis to (2+1) dimensional charged black holes.

Abstract

In this paper we study the first law of thermodynamics for the (2+1) dimensional charged BTZ black hole considering a pair of thermodinamical systems constructed with the two horizons of this solution. We show that these two systems are similar to the right and left movers of string theory and that the temperature associated with the black hole is the harmonic mean of the temperatures associated with these two systems.