Thermodynamics of Einstein-Born-Infeld black holes in three dimensions

TL;DR

This paper explores the thermodynamics of three-dimensional Einstein-Born-Infeld black holes, demonstrating that their thermodynamic properties can be derived from two-dimensional dilaton gravity, bridging non-rotating uncharged and charged BTZ black holes.

Contribution

It introduces a method to obtain thermodynamic quantities of Einstein-Born-Infeld black holes via dimensional reduction to two-dimensional dilaton gravity, highlighting a connection between different BTZ black holes.

Findings

Thermodynamic quantities are derived from dilaton gravity.

The approach links non-rotating uncharged and charged BTZ black holes.

Dimensional reduction simplifies the analysis of black hole thermodynamics.

Abstract

We show that all thermodynamic quantities of the Einstein-Born-Infeld black holes in three dimensions can be obtained from the dilaton and its potential of two dimensional dilaton gravity through the dimensional reduction. These are all between non-rotating uncharged BTZ black hole (NBTZ) and charged BTZ black hole (CBTZ).