2011
DOI: 10.1103/physrevd.83.105007
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Traveling solitons in Lorentz andCPTbreaking systems

Abstract: In this work we present a class of traveling solitons in Lorentz-violating systems. In the case of Lorentz violating scenarios, it is usual to construct static solitonic configurations. Here it is shown that it is possible to construct some traveling solitons which, as it should be expected, can not be mapped into a static configuration by means of Lorentz boosts due to its explicit breaking. Furthermore, in the model studied, a complete set of solutions is obtained. The solutions present a critical behavior c… Show more

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Cited by 41 publications
(33 citation statements)
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“…Solitons, Lorentz symmetry breaking, supersymmetry, and entropy were employed using the CE concept [42][43][44][45]. The CE for traveling solitons reveals that the best value of the parameter responsible for breaking the Lorentz symmetry is that where the energy density is distributed equally around the origin.…”
Section: Introductionmentioning
confidence: 99%
“…Solitons, Lorentz symmetry breaking, supersymmetry, and entropy were employed using the CE concept [42][43][44][45]. The CE for traveling solitons reveals that the best value of the parameter responsible for breaking the Lorentz symmetry is that where the energy density is distributed equally around the origin.…”
Section: Introductionmentioning
confidence: 99%
“…The study of the Lorentz-violating effects on the formation of topological defects was firstly considered in the solitonic solutions generated by scalar fields in Refs. [12][13][14][15]. Topological defects arising in scenarios with spontaneous Lorentzsymmetry breaking triggered by tensor fields were reported in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, investigations about topological defects in the presence of Lorentz symmetry violation have been addressed in the literature [56][57][58]. Works have also been done on monopole and vortices in Lorentz violation scenarios [59].…”
Section: Introductionmentioning
confidence: 99%