On the Thermodynamical Relation between Rotating Charged BTZ Black Holes and Effective String Theory

TL;DR

This paper explores the thermodynamic properties of rotating charged BTZ black holes, revealing a connection to string theory by modeling the horizons as right and left movers, and showing the black hole temperature as their harmonic mean.

Contribution

It introduces a novel thermodynamic interpretation of BTZ black hole horizons as string theory-like systems, linking black hole temperature to horizon-based thermodynamics.

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 first law of thermodynamics applies to these horizon systems.

Abstract

In this paper we study the first law of thermodynamics for the (2+1) dimensional rotating 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.