A model for Hopfions on the space-time S(3)xR
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Data
2005-01-01
Autores
De Carli, E.
Ferreira, L. A.
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American Institute of Physics (AIP)
Resumo
We construct static and time dependent exact soliton solutions for a theory of scalar fields taking values on a wide class of two dimensional target spaces, and defined on the four dimensional space-time S-3 X R. The construction is based on an ansatz built out of special coordinates on S3. The requirement for finite energy introduce boundary conditions that determine an infinite discrete spectrum of frequencies for the oscillating solutions. For the case where the target space is the sphere S-2, we obtain static soliton solutions with nontrivial Hopf topological charges. In addition, such Hopfions can oscillate in time, preserving their topological Hopf charge, with any of the frequencies belonging to that infinite discrete spectrum. (C) 2005 American Institute of Physics.
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Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 46, n. 1, 10 p., 2005.