Vector-Field Domain Walls

TL;DR

The paper explores how spontaneous Lorentz violation can lead to unique, metastable vector-field domain walls with distinct gravitational effects, especially for space-like violations, and discusses potential applications.

Contribution

It introduces the concept of vector-field domain walls arising from Lorentz violation, highlighting their existence for space-like cases and their unique gravitational properties.

Findings

Domain walls exist for space-like Lorentz violation but not for time-like.

These walls produce a peculiar static gravitational field at small distances.

Long-distance gravity of these walls resembles that of regular scalar-field walls.

Abstract

We argue that spontaneous Lorentz violation may generally lead to metastable domain walls related to the simultaneous violation of some accompanying discrete symmetries. Remarkably, such domain wall solutions exist for space-like Lorentz violation and do not exist for the time-like violation. Because a preferred space direction is spontaneously induced, these domain walls have no planar symmetry and produce a peculiar static gravitational field at small distances, while their long-distance gravity appears the same as for regular scalar-field walls. Some possible applications of vector-field domain walls are briefly discussed.