Choptuik scaling in six dimensions

TL;DR

This paper investigates the critical behavior of gravitational collapse in six dimensions, revealing the self-similar nature of the critical solution and determining key parameters like the critical exponent and period.

Contribution

It provides the first numerical analysis of Choptuik scaling in six-dimensional spacetime, identifying the critical solution's discrete self-similarity and calculating associated parameters.

Findings

Critical solution exhibits discrete self-similarity.

Critical exponent b3 and period b4 determined.

First numerical study of 6D gravitational collapse.

Abstract

We perform numerical simulations of the critical gravitational collapse of a spherically symmetric scalar field in 6 dimensions. The critical solution has discrete self-similarity. We find the critical exponent \gamma and the self-similarity period \Delta.