Statistical Mechanics of Charged Black Holes in Induced Einstein-Maxwell Gravity

TL;DR

This paper explores the statistical origin of entropy in charged black holes within induced Einstein-Maxwell gravity, demonstrating the universality of the Bekenstein-Hawking entropy mechanism across charged and neutral cases.

Contribution

It shows that the entropy generation mechanism in induced gravity is universal and unaffected by charge, supported by explicit calculations in 3D Einstein-Maxwell gravity.

Findings

Divergences of statistical-mechanical entropy are unaffected by charge.

The entropy mechanism is universal for charged and neutral black holes.

Concrete computations confirm the universality in 3D models.

Abstract

The statistical origin of the entropy of charged black holes in models of induced Einstein-Maxwell gravity is investigated. The constituents inducing the Einstein-Maxwell action are charged and interact with an external gauge potential. This new feature, however, does not change divergences of the statistical-mechanical entropy of the constituents near the horizon. It is demonstrated that the mechanism of generation of the Bekenstein-Hawking entropy in induced gravity is universal and it is basically the same for charged and neutral black holes. The concrete computations are carried out for induced Einstein-Maxwell gravity with a negative cosmological constant in three space-time dimensions.