Coupled Scalar Fields Oscillons and Breathers in Some Lorentz Violating Scenarios

Abstract EN

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 violationscenario rigorously derived in the literature.

We show that the Lorentz violation is responsiblefor the origin of a kind of deformation of the configuration, where the field configuration becomesoscillatory in a localized region near its maximum value.

Furthermore, we show that the Lorentzbreaking symmetry produces a displacement of the oscillon along the spatial direction; the samefeature is present in the case of breathers.

We also show that the effect of a Lorentz violation inthe flat-top oscillon solution is responsible by the shrinking of the flat-top.

Furthermore, we findanalytically the outgoing radiation; this result indicates that the amplitude of the outgoing radiationis controlled by the Lorentz breaking parameter, in such a way that this oscillon becomes moreunstable than its symmetric counterpart; however, it still has a long living nature.