Quantum theory of charged isolated horizons

TL;DR

This paper develops a quantum theory for charged isolated horizons, incorporating gauge fields and matter, and derives entropy relations with corrections for small black holes and horizon charge.

Contribution

It extends quantum isolated horizon models to include electromagnetic and non-Abelian charges, analyzing their effects on black hole entropy and corrections.

Findings

Reproduces Bekenstein-Hawking entropy with corrections

Includes matter degrees of freedom in state counting

Identifies area-proportional and logarithmic corrections

Abstract

We describe the quantum theory of isolated horizons with electromagnetic or non-Abelian gauge charges in a setting in which both gauge and gravitational field are quantized. We consider the distorted case, and its spherically symmetric limit. We show that the gravitational horizon degrees of freedom give rise to the Bekenstein-Hawking relation, with lower order terms giving some corrections for small black holes. We also demonstrate that one can include matter degrees of freedom into the state counting. We show that one can expect (potentially divergent) contributions proportional to the area, as well as logarithmic correction proportional to the horizon charge. This is qualitatively similar to results on matter contributions obtained with other methods in the literature.