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A classification of the effective metric in nonlinear electrodynamics

Érico Goulart de Oliveira CostaCentro Brasileiro de Pesquisas Fisicas, Rua Xavier Sigaud, 150, CEP 22290-180, Rio de Janeiro, BrazilSantiago Esteban Perez BergliaffaDepartamento de Física Teórica, Instituto de Física, Universidade do Estado de Rio de Janeiro, CEP 20550-013, Rio de Janeiro, Brazil
2009en
ABI

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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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