A numerical examination of an evolving black string horizon

TL;DR

This paper uses numerical methods to study the evolution of a perturbed black string horizon, revealing that the horizon's affine parameter grows large and its expansion and shear diminish, indicating a potential infinite pinching process.

Contribution

It provides a detailed numerical analysis of black string horizon evolution, highlighting the possibility of horizon pinch-off in infinite affine parameter.

Findings

Affine parameter on the horizon becomes very large.

Horizon expansion and shear become very small.

Potential for horizon pinch-off in infinite affine parameter.

Abstract

We use the numerical solution describing the evolution of a perturbed black string presented in Choptuik et al. (2003) to elucidate the intrinsic behavior of the horizon. It is found that by the end of the simulation, the affine parameter on the horizon has become very large and the expansion and shear of the horizon in turn very small. This suggests the possibility that the horizon might pinch off in infinite affine parameter.