Remark on formation of colored black holes via fine tuning

TL;DR

This paper confirms that the scaling law for the lifetime of intermediate attractors in colored black hole formation aligns with linear perturbation predictions, and discusses how the mass gap depends on the event horizon radius.

Contribution

It demonstrates the agreement between numerical scaling laws and linear perturbation analysis for colored black holes, and comments on the mass gap dependence.

Findings

Scaling law matches linear perturbation analysis

Mass gap depends on event horizon radius

Supports previous numerical results

Abstract

In a recent paper (gr-qc/9903081) Choptuik, Hirschmann, and Marsa have discovered the scaling law for the lifetime of an intermediate attractor in the formation of n=1 colored black holes via fine tuning. We show that their result is in agreement with the prediction of linear perturbation analysis. We also briefly comment on the dependence of the mass gap across the threshold on the radius of the event horizon.