Knotted solutions, from electromagnetism to fluid dynamics
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Data
2017-11-30
Autores
Alves, Daniel W. F. [UNESP]
Hoyos, Carlos
Nastase, Horatiu [UNESP]
Sonnenschein, Jacob
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Título de Volume
Editor
World Scientific Publ Co Pte Ltd
Resumo
Knotted solutions to electromagnetism and fluid dynamics are investigated, based on relations we find between the two subjects. We can write fluid dynamics in electromagnetism language, but only on an initial surface, or for linear perturbations, and we use this map to find knotted fluid solutions, as well as new electromagnetic solutions. We find that knotted solutions of Maxwell electromagnetism are also solutions of more general nonlinear theories, like Born Infeld, and including ones which contain quantum corrections from couplings with other modes, like Euler Heisenberg and string theory DBI. Null configurations in electromagnetism can be described as a null pressureless fluid, and from this map we can find null fluid knotted solutions. A type of nonrelativistic reduction of the relativistic fluid equations is described, which allows us to find also solutions of the (nonrelativistic) Euler's equations.
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Classical field theory solutions, fluid dynamics, knotted solutions, electromagnetism
Como citar
International Journal Of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 32, n. 33, 34 p., 2017.