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Efeitos da eletrodin?mica n?o linear na propaga??o de radia??o em torno de objetos compactos carregadosVasconcelos, Kelder Cavalcanti de 19 December 2016 (has links)
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Previous issue date: 2016-12-19 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior (CAPES) / Nesta tese, a propaga??o de ondas eletromagn?ticas no contexto de eletrodin?micas n?o
lineares, ? cuidadosamente analisada dentro de um espa?o-tempo criado por uma massa
esfericamente sim?trica e eletricamente carregada. Dentro de certas aproxima??es, verificamos
a exist?ncia da auto intera??o eletromagn?tica entre o campo eletrost?tico de
fundo e a radia??o que nele se propaga, e adotamos para esta an?lise uma abordagem conhecida
como m?trica efetiva. Observamos que a m?trica efetiva n?o gera horizontes de
eventos efetivos, por?m as n?o linearidades alteram as posi??es usuais dos horizontes de
eventos de buracos negros tipo Reissner-Nordstr?m. Na aproxima??o linear, calculamos
como a auto intera??o afeta o desvio geod?sico e o redshift da propaga??o de f?tons pr?ximo
destes objetos massivos carregados. Por fim, utilizando a Lagrangeana efetiva de
Euler-Heinsenberg, estimamos a contribui??o da auto intera??o no redshift geom?trico
perto de objetos compactos extremais. / 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-Nordstr?m 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.
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