Topological Defects and the Trial Orbit Method

TL;DR

This paper explores the use of the trial orbit method to find explicit solutions for topological defects in models with two scalar fields, highlighting its efficiency in solving second order equations via first order differential equations.

Contribution

It demonstrates the effectiveness of the trial orbit method in deriving explicit topological defect solutions in multi-scalar field models.

Findings

Trial orbit method efficiently finds explicit defect solutions.

Second order equations can be reduced to first order equations.

Method applies to models with topological defects in scalar fields.

Abstract

We deal with the presence of topological defects in models for two real scalar fields. We comment on defects hosting topological defects, and we search for explicit defect solutions using the trial orbit method. As we know, under certain circumstances the second order equations of motion can be solved by first order differential equations. In this case we show that the trial orbit method can be used very efficiently to obtain explicit solutions.