Efeitos da eletrodinâmica não linear na propagação de radiação em torno de objetos compactos carregados

Abstract

In this thesis, the propagation of non-linear electromagnetic waves is careful analyzed on a curved spacetime created by spherically symmetric mass and charge distribution. Using certain approximations we verified the existence of electromagnetic selfinteraction between the background electrostatic field and the radiation that propagates on it, and we adopted for this analysis an approach known as effective metric. We observed that the effective metric does not generate effective events horizons, but the non linearities changes the event horizons usual positions of Reissner-Nordström black holes. In linear approximation, we compute how the self-interaction affects the geodesic deviation and the redshift of photons propagating near this massive charged object. Using the Euler-Heisenberg effective Lagrangian, we estimate the contribution of these self-interactions in the geometrical reshift near extremal compact objects.