Illusory Quantum Hair

TL;DR

This paper critically examines the quantum hair model for black holes, arguing that potential quantum hair is likely unstable and discussing broader implications for quantum extensions of the classical no-hair theorems.

Contribution

It provides a critical analysis of the quantum hair model, suggesting its instability and exploring implications for quantum black hole theories.

Findings

Quantum hair is likely destroyed by black hole instability

Implications challenge the viability of quantum extensions of no-hair theorems

Discussion on the stability of quantum hair in black hole physics

Abstract

We analyze the quantum hair model proposed recently by Coleman, Preskill and Wilczek. We give arguments suggesting that the potential hair is expected to be destroyed by the instability of the black-hole. We also discuss the general implications of such arguments on the prospects for formulating a quantum extension of the classical ``no hair'' theorems.