Thermodynamics of a charged hairy black hole in (2+1) dimensions

TL;DR

This paper explores the thermodynamics, statistical properties, and stability of a charged (2+1)-dimensional black hole with scalar hair, revealing how charge and scalar fields influence key thermodynamic quantities.

Contribution

It provides new insights into how scalar hair and electric charge affect the thermodynamic behavior and stability of lower-dimensional black holes.

Findings

Scalar charge increases entropy, temperature, and probability.

Electric charge increases probability, decreases temperature and internal energy.

The system exhibits thermodynamical stability.

Abstract

In this paper we study thermodynamics, statistics and spectroscopic aspects of a charged black hole with a scalar hair coupled to the gravity in (2+1) dimensions. We obtained effects of the black hole charge and scalar field on the thermodynamical and statistical quantities. We find that scalar charge may increase entropy, temperature and probability, while may decrease black hole mass, free and internal energy. Also electric charge increases probability and decreases temperature and internal energy. Also we investigate stability of the system and find that the thermodynamical stability exists.