Gravitational scattering of zero-rest-mass plane waves

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electromagnetic Scattering, Feynman Diagrams, Gravitational Effects, Gravitational Waves, Plane Waves, Scattering Cross Sections, Angular Momentum, Astrophysics, Coupled Modes, Polarization (Waves), Schwarzschild Metric

Scientific paper

The Feyman-diagram technique is used to calculate the differential cross sections for the scattering of zero-rest-mass plane waves of spin 0, 1, and 2 by linearized Schwarzschild and Kerr geometries in the long-wavelength weak-field limit. It is found that the polarization of right (or left) circularly polarized electromagnetic waves is unaffected by the scattering process (i.e., helicity is conserved) and that the two helicity (polarization) states of the photon are scattered differently by the Kerr geometry. This coupling between the photon helicity and the angular momentum of the scatterer also leads to a partial polarization of unpolarized incident light. For gravitational waves, on the other hand, there is neither helicity conservation nor helicity-dependent scattering; the angular momentum of the scatterer has no polarizing effect on incident unpolarized gravitational waves.

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