Black holes with short hair

TL;DR

This paper introduces new spherically symmetric black hole solutions with arbitrarily short hair in Einstein gravity coupled to anisotropic matter, demonstrating their stability and challenging existing no short hair theorems.

Contribution

It presents novel black hole solutions with short hair and provides evidence of their stability, expanding the understanding of black hole hair in Einstein gravity.

Findings

Black holes can have arbitrarily short hair.

These solutions are stable and can form from collapse.

A recent no short hair theorem does not apply to these solutions.

Abstract

We present spherically symmetric black hole solutions for Einstein gravity coupled to anisotropic matter. We show that these black holes have arbitrarily short hair, and argue for stability by showing that they can arise from dynamical collapse. We also show that a recent `no short hair' theorem does not apply to these solutions.