Choptuik's Critical Phenomenon in Einstein-Gauss-Bonnet Gravity

TL;DR

This paper explores how higher order curvature corrections in Einstein-Gauss-Bonnet gravity alter the classical Choptuik critical phenomenon during gravitational collapse, leading to the disappearance of self-similarity and mass scaling.

Contribution

It demonstrates that in Einstein-Gauss-Bonnet gravity, the critical behavior observed in classical collapse is fundamentally changed due to high curvature effects, introducing new geometric features.

Findings

Critical behavior is destroyed at high curvature.

Self similarity and mass scaling relations disappear.

New oscillatory behavior with constant length scale appears.

Abstract

We investigate the effects of higher order curvature corrections to Einstein's Gravity on the critical phenomenon near the black hole threshold, namely the Choptuik phenomenon. We simulate numerically a five dimensional spherically symmetric gravitational collapse of massless scalar field in Einstein-Gauss-Bonnet gravity towards a black hole formation threshold. When the curvature is sufficiently large the additional higher order terms, affect the evolution of the whole system. Since high curvature characterizes the region when the critical behavior takes place this critical behavior is destroyed. Both the self similarity and the mass scaling relation disappear. Instead we find a different behavior near the black hole threshold, which depends on the coupling constant of the higher order terms. The new features include a change of the sign of the Ricci scalar on the origin which indicates changes in the local geometry of space-time, and never occurs in classical general relativity collapse, and oscillations with a constant rather than with a diminishing length scale.