Geometrothermodynamics of BTZ black hole in new massive gravity

TL;DR

This paper explores the thermodynamic properties and phase transitions of the chargeless BTZ black hole in new massive gravity using geometrothermodynamics, revealing stability conditions and a second order phase transition.

Contribution

It applies geometrothermodynamics to analyze the phase structure and stability of BTZ black holes in new massive gravity, providing new insights into their thermodynamic behavior.

Findings

Identifies thermodynamic stability regions for the BTZ black hole.

Discovers a second order phase transition between BTZ black hole and thermal AdS3.

Analyzes phase structure using geometrothermodynamic methods.

Abstract

We investigate the thermodynamics as well as thermodynamic geometry of chargeless BTZ black hole solution in new massive gravity. Phase structure and thermodynamic stability of the system is analyzed using the Geometrothermodynamic approach. The phase transition between BTZ black hole space time and thermal AdS$_{3}$ soliton is studied using the same approach and the existence of a second order phase transition is examined.