Dirty Black Holes and Hairy Black Holes

TL;DR

This paper explores quantum hair and thermodynamics of black holes using non-classical energy considerations, extending previous Euclidean methods and addressing instanton effects and quantum field theory relations.

Contribution

It introduces a novel approach based on energy-momentum tensors to analyze black hole quantum hair, correcting prior work and linking instanton effects to black hole thermodynamics.

Findings

Quantum hair affects black hole temperature

Extended Euclidean action analysis with corrections

Identified links between instantons and thermodynamics

Abstract

An approach based on considerations of the non-classical energy momentum tensor outside the event horizon of a black hole provides additional physical insight into the nature of discrete quantum hair on black holes and its effect on black hole temperature. Our analysis both extends previous work based on the Euclidean action techniques, and corrects an omission in that work. We also raise several issues related to the effects of instantons on black hole thermodynamics and the relation between these effects and results in two dimensional quantum field theory.