A classification of the effective metric in nonlinear electrodynamics

Details A classification of the effective metric in nonlinear electrodynamics A classification of the effective metric in nonlinear electrodynamics

2009-05-22

arxiv.org/abs/0905.3673v1

Class.Quant.Grav.26:135015,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted for publication in Classical & Quantum Gravity

Scientific paper

10.1088/0264-9381/26/13/135015

We show that only two types of effective metrics are possible in certain nonlinear electromagnetic theories. This is achieved by using the dependence of the effective metric on the energy-momentum tensor of the background along with the Segr\`e classification of the latter. Each of these forms is completely determined by single scalar function, which characterizes the light cone of the nonlinear theory. We compare this light cone with that of Minkowski in two examples.

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