Is there a connection between no-hair behavior and universality in gravitational collapse?

TL;DR

This paper explores the potential link between no-hair behavior and universality in gravitational collapse by applying linear perturbation theory, revealing approximate universal features in black hole formation.

Contribution

It investigates the connection between no-hair properties and universality in gravitational collapse using linear perturbation theory, providing insights into black hole mass scaling.

Findings

Universal black hole mass behavior with an exponent of 1/2

Universal form of in-falling perturbations at the horizon

Approximate universality observed despite nonlinear phenomena

Abstract

We apply linear perturbation theory to the study of the universality and criticality first observed by Choptuik in gravitational collapse. Since these are essentially nonlinear phenomena our attempt is only a rough approximation. In spite of this, universal behavior of the final black hole mass is observed with an exponent of 1/2, slightly higher than the observed value of 0.367. The universal behavior is rooted in the universal form that in-falling perturbations on black holes have at the horizon.