Kink in superconducting cosmic string: exact solution

TL;DR

This paper provides an exact solution for the equations of motion of a kink in a superconducting cosmic string, revealing how the kink's velocity and amplitude relate to Lorentz transformations.

Contribution

It presents an exact analytical solution describing the properties of kinks in superconducting cosmic strings, including velocity and amplitude constraints.

Findings

Kink velocity is independent of amplitude.

Kink amplitude has a specific range of possible values.

The explicit Lorentz transformation associated with the kink is derived.

Abstract

We solve the equations of motion and find the Lorentz transformation associated with a kink in superconducting cosmic string. The kink velocity does not depend on its amplitude. The kink amplitude cannot be arbitrary but it varies within definite range and determines the explicit form of the relevant Lorentz transformation.