Diffractive propagation of light waves in a class of anisotropically-expanding cosmological models

Astronomy and Astrophysics – Astrophysics

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Wave Propagation And Interactions

Scientific paper

We investigate the propagation of light for metrics in which the approximation of geometrical (ray) optics breaks down due to nonadiabatically rapid (in space or time) variations of the curved-spacetime geometry. This may lead to wavelength-dependent effects such as diffraction and dispersion. The rapidly-expanding cosmological spacetimes are good candidate metrics for such effects. We find that conformal invariance prevents such violations of adiabaticity for the spatially-flat Friedmann Robertson-Walker metric; but if one breaks conformal invariance via the anisotropic (but homogeneous) Kasner metrics, then the propagation of light waves will be shown to deviate from the predictions of simple ray-tracing. .

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