Analytic Q -ball solutions and their stability in a piecewise parabolic potential

Explicit solutions for extended objects of a Q-ball type were found analytically in a model describing complex scalar field with piecewise parabolic potential in (3 + 1)- and (1 + 1)-dimensional space-times. Such a potential provides a variety of solutions which were thoroughly examined. It was show...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2013-04, Vol.87 (8), Article 085043
Main Authors: Gulamov, I. E., Nugaev, E. Ya, Smolyakov, M. N.
Format: Article
Language:English
Subjects:
Approximation
Cosmology
Gravitation
Mathematical analysis
Mathematical models
Perturbation methods
Scalars
Stability
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Summary:Explicit solutions for extended objects of a Q-ball type were found analytically in a model describing complex scalar field with piecewise parabolic potential in (3 + 1)- and (1 + 1)-dimensional space-times. Such a potential provides a variety of solutions which were thoroughly examined. It was shown that, depending on the values of the parameters of the model and according to the known stability criteria, there exist stable and unstable solutions. The classical stability of solutions in (1 + 1)-dimensional space-time was examined in the linear approximation and it was shown explicitly that the spectrum of linear perturbations around some solutions contains exponentially growing modes while it is not so for other solutions.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.87.085043