Critical gravitational collapse with angular momentum

TL;DR

This paper develops a theoretical model describing how mass and angular momentum scale during type-II critical gravitational collapse with rotation, and confirms its accuracy with numerical simulations.

Contribution

It introduces a new theoretical framework for mass and angular momentum scaling in rotating critical collapse, validated by numerical results.

Findings

Excellent agreement between theory and numerical simulations

Model accurately predicts mass and angular momentum scaling

Applicable to rotating radiation fluid collapse

Abstract

We derive a theoretical model of mass and angular momentum scaling in type-II critical collapse with rotation. We focus on the case where the critical solution has precisely one, spherically symmetric, unstable mode. We demonstrate excellent agreement with numerical results for critical collapse of a rotating radiation fluid, which falls into this case.