Dynamics of a global string with large Higgs boson mass

TL;DR

This paper analyzes the behavior of a self-gravitating global string with a large Higgs boson mass, revealing that gravity constrains the string's world sheet to be totally geodesic through a limiting process.

Contribution

It introduces a new approach to understanding the dynamics of global strings with large Higgs mass by combining Einstein and field equations in a specific limiting regime.

Findings

Gravity restricts the string's world sheet to be totally geodesic.

The large Higgs mass limit simplifies the string's dynamics.

The analysis provides insights into the interplay between gravity and global vortex solutions.

Abstract

We consider a self-gravitating string generated by a global vortex solution in general relativity. We investigate the Einstein and field equations of a global vortex in the region of its central line and at a distance from the centre of the order of the inverse of its Higgs boson mass. By combining the two we establish by a limiting process of large Higgs mass the dynamics of a self-gravitating global string. Under our assumptions the presence of gravitation restricts the world sheet of the global string to be totally geodesic.