Cylindrical Domain Walls and Gravitational Waves -- Einstein Rosen wave emission from momentarily static initial configuration --

TL;DR

This paper investigates how cylindrical domain walls interact with gravitational waves, showing that larger initial radii lead to significant wave emission and back reaction during evolution.

Contribution

It provides a detailed analysis of gravitational wave emission from cylindrical domain walls starting from a static initial state, using the metric junction formalism.

Findings

Large initial radius leads to high amplitude gravitational wave emission.

The domain wall experiences significant back reaction due to wave emission.

The study clarifies the interaction dynamics between domain walls and gravitational waves.

Abstract

A self-gravitating cylindrical domain wall is considered as an example of non-spherical wall to clarify the interaction between a domain wall and gravitational waves. We consider the time evolution from a momentarily static initial configuration within an infinitesimal time interval using the metric junction formalism. We found that the wall with a large initial radius radiates large amplitude of the gravitational waves and undergoes its large back reaction.