An exact solution for 2+1 dimensional critical collapse

TL;DR

This paper presents an exact analytical solution for the critical collapse of a scalar field with a cosmological constant in 2+1 dimensions, matching previous numerical simulations.

Contribution

The authors derive a closed-form exact solution for 2+1 dimensional scalar field critical collapse, confirming numerical results.

Findings

Exact solution matches numerical simulations

Provides analytical insight into critical collapse behavior

Enhances understanding of lower-dimensional gravitational collapse

Abstract

We find an exact solution in closed form for the critical collapse of a scalar field with cosmological constant in 2+1 dimensions. This solution agrees with the numerical simulation done by Pretorius and Choptuik of this system.