Gravitational scattering of electromagnetic field by Schwarzschild black-hole.

Physics

Scientific paper

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Black Holes: Scattering

Scientific paper

The author studies the electromagnetic scattering by a spherical black-hole. Maxwell's equations are written in Schwarzschild coordinates: the electromagnetic tensor is replaced with electric and magnetic fields in a three dimensional absolute space. He introduces a set of wave operators, W±0, W±1, yielding an electromagnetic field given an asymptotic behavior far from the black-hole, W±0, and near the Schwarzschild radius, W±1, as universal time t→±∞. He interprets the results on the Kruskal universe: the existence of W-0, W-1 assures the characteristic Cauchy problem with data on the past horizons is well posed in the Schwarzschild submanifold, and the asymptotic completeness of W+0, W+1 allows to define the solution on the future horizons.

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