Developing the eikonal method in nonlinear electrodynamics based on the geometrization principle |
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Authors: | I V Krivchenkov |
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Institution: | (1) Tsiolkovskii Russian State University of Technology (MATI), Moscow, Russia |
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Abstract: | 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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 1, pp. 112–117, January, 2007. |
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Keywords: | geometrization principle nonlinear electrodynamics eikonal equation |
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