Geodesic
Velocity of propagation of a signal, and the space-time metric in nonlinear electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 55-66 
Dao Vong Dyc; Nguyen Van Hieu. Velocity of propagation of a signal, and the space-time metric in nonlinear electrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 55-66. http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that, in nonlinear electrodynamics, the velocity of propagation of a small timedependent disturbance (which can be assumed to be a signal) in an external field depends on the strength of the field and can exceed the velocity of light in a vacuum. This implies that, in an external field, the order (in time) of the emission and reception of a signal can depend on the reference system if the usual Lorentz-transformation formula holds. The possibility is considered of avoiding this contradiction by the introduction of a space-time metric dependent on the field or by the introduction of a new selection principle permitting the exclusion of nonlinear Lagrangians which allow signal velocities greater than the velocity of light.

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