A. de Souza Dutra, R. A. C. Correa
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 brathers. 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. 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 amplitude of the outgoing radiation is controlled by the Lorentz breaking parameter in such away that it lives less than its symmetric counterpart, however, it still has a long living nature. We also show that the Lorentz violation is responsible for a displacement of the oscillons and breathers.
View original:
http://arxiv.org/abs/1212.4448
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