Knotted solutions for linear and nonlinear theories: Electromagnetism and fluid dynamics

Autor(es)

Alves, Daniel W. F. ^[1] ; Hoyos, Carlos ^[2] ; Nastase, Horatiu ^[1] ; Sonnenschein, Jacob ^[3]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, UNESP, Inst Fis Teor, Rua Dr Bento T Ferraz 271, Bl 2, BR-01140070 Sao Paulo, SP - Brazil

^[2] Univ Oviedo, Dept Phys, Calle Federico Garcia Lorca 18, Oviedo 33007 - Spain

^[3] Tel Aviv Univ, Sch Phys & Astron, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Ramat Aviv - Israel

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters B; v. 773, p. 412-416, OCT 10 2017.
• Citações Web of Science: 3

Resumo

We examine knotted solutions, the most simple of which is the ``Hopfion{''}, from the point of view of relations between electromagnetism and ideal fluid dynamics. A map between fluid dynamics and electromagnetism works for initial conditions or for linear perturbations, allowing us to find new knotted fluid solutions. Knotted solutions are also found tobe solutions of nonlinear generalizations of electromagnetism, and of quantum-corrected actions for electromagnetism coupled to other modes. For null configurations, electromagnetism can be described as a null pressureless fluid, for which we can find solutions from the knotted solutions of electromagnetism. We also map them to solutions of Euler's equations, obtained from a type of nonrelativistic reduction of the relativistic fluid equations. (C) 2017 The Authors. Published by Elsevier B.V. (AU)

• Processo FAPESP: 14/18634-9 - Dualidade gravitação/Teoria de Gauge
• Beneficiário: Victor de Oliveira Rivelles
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Linha de fomento: Auxílio à Pesquisa - Temático