Artículos de revistas
Knotted solutions, from electromagnetism to fluid dynamics
Fecha
2017-11-30Registro en:
International Journal Of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 32, n. 33, 34 p., 2017.
0217-751X
10.1142/50217751X17502001
WOS:000416952700015
Autor
Universidade Estadual Paulista (Unesp)
Univ Oviedo
Tel Aviv Univ
Institución
Resumen
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.