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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Alves, Daniel W. F. [1] ; Hoyos, Carlos [2] ; Nastase, Horatiu [1] ; Sonnenschein, Jacob [3]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: Physics Letters B; v. 773, p. 412-416, OCT 10 2017.
Web of Science Citations: 3
Abstract

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)

FAPESP's process: 14/18634-9 - Gauge/Gravity duality
Grantee:Victor de Oliveira Rivelles
Support type: Research Projects - Thematic Grants
FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants