Geodesic
Developing the~eikonal method in nonlinear electrodynamics based on the~geometrization principle
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 1, pp. 112-117

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We derive the eikonal equation for an electromagnetic wave propagating in an external electromagnetic field according to the laws of nonlinear electrodynamics. Based on Logunov's geometrization principle, we determine the metric tensors of the effective Riemannian spaces for the Born–Infeld electrodynamics, nonlinear Heisenberg–Euler electrodynamics, and a parameterized post-Maxwellian electrodynamics. We analyze the main properties of these nonlinear electrodynamics.
Keywords: geometrization principle, nonlinear electrodynamics
Mots-clés : eikonal equation. 
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     author = {I. V. Krivchenkov},
     title = {Developing the~eikonal method in nonlinear electrodynamics based on the~geometrization principle},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {112--117},
     publisher = {mathdoc},
     volume = {150},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a5/}
}
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I. V. Krivchenkov. Developing the~eikonal method in nonlinear electrodynamics based on the~geometrization principle. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 1, pp. 112-117. http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a5/