dc.creatorAbalos, Julio Fernando
dc.creatorCarrasco, Federico León
dc.creatorGoulart, Érico
dc.creatorReula, Oscar Alejandro
dc.date.accessioned2018-07-04T15:44:57Z
dc.date.accessioned2018-11-06T11:39:40Z
dc.date.available2018-07-04T15:44:57Z
dc.date.available2018-11-06T11:39:40Z
dc.date.created2018-07-04T15:44:57Z
dc.date.issued2015-10
dc.identifierAbalos, Julio Fernando; Carrasco, Federico León; Goulart, Érico; Reula, Oscar Alejandro; Nonlinear electrodynamics as a symmetric hyperbolic system; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 92; 8; 10-2015; 1-19
dc.identifier1550-7998
dc.identifierhttp://hdl.handle.net/11336/51184
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1857077
dc.description.abstractNonlinear theories generalizing Maxwell's electromagnetism and arising from a Lagrangian formalism have dispersion relations in which propagation planes factor into null planes corresponding to two effective metrics which depend on the pointwise values of the electromagnetic field. These effective Lorentzian metrics share the null (generically two) directions of the electromagnetic field. We show that the theory is symmetric hyperbolic if and only if the cones these metrics give rise to have a nonempty intersection, namely, that there exist families of symmetrizers in the sense of Geroch [26] which are positive definite for all covectors in the interior of the cones intersection. Thus, for these theories, the initial value problem is well posed. We illustrate the power of this approach with several nonlinear models of physical interest such as Born-Infeld, Gauss-Bonnet, and Euler-Heisenberg.
dc.languageeng
dc.publisherAmerican Physical Society
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1103/PhysRevD.92.084024
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.92.084024
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectNONLINEAR ELECTRODYNAMICS
dc.subjectSYMMETRIC HYPERBOLIC
dc.subjectPARTIAL DIFFERENTIAL EQUATIONS
dc.subjectBORN INFELD
dc.titleNonlinear electrodynamics as a symmetric hyperbolic system
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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