On dynamics of cylindrical and spherical relativistic domain walls of finite thickness

TL;DR

This paper introduces a new Taylor expansion-based method to analyze the dynamics of relativistic cylindrical and spherical domain walls with finite thickness, revealing internal oscillatory modes and complex coordinate transformations.

Contribution

It presents a novel analytical approach for studying relativistic domain walls, including internal modes and detailed coordinate transformations, advancing understanding of their dynamics.

Findings

Discovery of internal oscillatory modes in domain walls

Identification of non-analytic behavior in wall width

Analysis of complex coordinate transformations

Abstract

Dynamics of cylindrical and spherical relativistic domain walls is investigated with the help of a new method based on Taylor expansion of the scalar field in a vicinity of the core of the wall. Internal oscillatory modes for the domain walls are found. These modes are non-analytic in the "width" of the domain wall. Rather non-trivial transformation to a special coordinate system, widely used in investigations of relativistic domain walls, is studied in detail.