Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios

TL;DR

This paper investigates how Lorentz symmetry breaking affects oscillons and breathers, revealing deformations, displacements, and increased instability, while maintaining their long-lived nature.

Contribution

It provides an analytical study of Lorentz violation effects on oscillons and breathers, including deformation, displacement, shrinking, and radiation emission.

Findings

Lorentz violation causes localized oscillatory deformation.

It displaces oscillons and breathers along spatial directions.

Lorentz breaking increases instability but preserves longevity.

Abstract

In this work we discuss the impact of the breaking of the Lorentz symmetry on the usual oscillons, the so-called flat-top oscillons, and the breathers. Our analysis is performed by using a Lorentz violation scenario rigorously derived in the literature. We show that the Lorentz violation is responsible for the origin of a kind of deformation of the configuration, where the field configuration becomes oscillatory in a localized region near its maximum value. Furthermore, we show that the Lorentz breaking symmetry produces a displacement of the oscillon along the spatial direction, the same feature is present in the case of breathers. We also show that the effect of a Lorentz violation in the flat-top oscillon solution is responsible by the shrinking of the flat-top. Furthermore, we find analytically the outgoing radiation, this result indicates that the amplitude of the outgoing radiation is controlled by the Lorentz breaking parameter, in such away that this oscillon becomes more unstable than its symmetric counterpart, however, it still has a long living nature.