The Aichelburg-Sexl Boost of Domain-Walls and Cosmic Strings

TL;DR

This paper investigates how applying the Aichelburg-Sexl boost to domain walls and cosmic strings alters their spacetime structures, revealing flatness except on null hypersurfaces and changes in conical deficits.

Contribution

It provides a detailed analysis of the effects of the Aichelburg-Sexl boost on domain walls and cosmic strings, including the resulting spacetime geometries and conical deficits.

Findings

Space-time becomes flat except on a null hypersurface for domain walls.

The conical deficit of cosmic strings changes after the boost.

Null shells appear as the history of the boosted domain walls.

Abstract

We consider the application of the Aichelburg-Sexl boost to plane and line distributions of matter. Our analysis shows that for a domain wall the space-time after the boost is flat except on a null hypersurface which is the history of a null shell. For a cosmic string we study the influence of the boost on the conical singularity and give the new value of the conical deficit.