Black Hole Critical Phenomena Without Black Holes

TL;DR

This paper reviews critical phenomena in black hole formation, highlights recent findings, and introduces a model exhibiting similar nonlinear phenomena without involving gravity.

Contribution

It presents a new model that demonstrates black hole critical phenomena without the need for gravitational effects.

Findings

Power-law mass scaling observed in the model

Universal behavior similar to gravitational cases

Self-similarity in the non-gravitational model

Abstract

Studying the threshold of black hole formation via numerical evolution has led to the discovery of fascinating nonlinear phenomena. Power-law mass scaling, aspects of universality, and self-similarity have now been found for a large variety of models. However, questions remain. Here I briefly review critical phenomena, discuss some recent results, and describe a model which demonstrates similar phenomena without gravity.