Effective metrics in nonlinear electrodynamics
effective metrics, event horizons, analogue black holes
Through non-linear generalizations of Maxwell's Electrodynamic Theory (TEM) it is possible to build a mathematical tool capable of reproducing certain phenomena described in the General Theory of Relativity (GRT). Therefore, such generalizations constitute excellent mental laboratories for the study of physical systems subject to geometrization. In particular, using the effective metric technique, we can describe the evolution of light rays in these theories in terms of typical tools of general relativity. On the other hand, we can produce solutions, involving only the electromagnetic field, capable of totally or partially imitating certain phenomena typical of the gravitational field. Such an approach constitutes a particular example of the so-called analogous models of gravitation. In this work we will study the effective metrics in models of non-linear electrodynamics, investigating the possibility of building step-by-step solutions whose Lagrangian depends only on the invariant F and we will show important aspects of the interaction of light with light, and we will try to reproduce a horizon of events by the effective metric.