An Analytic Model with Critical Behavior in Black Hole Formation

TL;DR

This paper introduces an analytic model demonstrating critical behavior in black hole formation, highlighting the role of gravitational nonlinearity and calculating the critical exponent analytically.

Contribution

It presents a new simple analytic model showing critical behavior in black hole formation and analytically determines the critical exponent's dependence on system parameters.

Findings

Critical behavior arises from gravitational nonlinearity near the event horizon.

The critical exponent is analytically calculated and varies with coupling constants.

The model provides insights into the dynamics of thin shell collapse in black hole formation.

Abstract

A simple analytic model is presented which exhibits a critical behavior in black hole formation, namely, collapse of a thin shell coupled with outgoing null fluid. It is seen that the critical behavior is caused by the gravitational nonlinearity near the event horizon. We calculate the value of the critical exponent analytically and find that it is very dependent on the coupling constants of the system.