Statistical Physics of 3D Hairy Black Holes

TL;DR

This paper analyzes the statistical properties of 3D hairy black holes with scalar fields, focusing on how rotation and scalar parameters influence their thermodynamics, and finds that certain probabilities are unaffected by these parameters.

Contribution

It provides a detailed computation of the partition function for 3D hairy black holes, revealing parameter independence in their statistical probabilities.

Findings

Probability is independent of rotation and scalar parameters.

Partition function computed for both charged and uncharged solutions.

Insights into the thermodynamic behavior of 3D hairy black holes.

Abstract

We investigate the statistical behaviors of 3D hairy black holes in the presence of a scalar field. The present study is made in terms of two relevant parameters: rotation parameter a and B parameter related to the scalar field. More precisely, we compute various statistical quantities including the partition function for non-charged and charged black hole solutions. Using a partition function calculation, we show that the probability is independent of a and B parameters.