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General Relativity and Quantum Cosmology, gr-qc
Abstract:
The gravitational Faraday and its dual spin-Hall effects of light arise in
space-times of non-zero angular momentum. These effects were studied in
stationary, asymptotically flat space-times. Here we study these effects in
arbitrary, non-stationary, asymptotically flat space-times. These effects arise
due to interaction between light polarisation and space-time angular momentum.
As a result of such interaction, the phase velocity of left- and right-handed
circularly polarised light becomes different, that results in the gravitational
Faraday effect. This difference implies different dynamics of these components,
that begin to propagate along different paths\textemdash the gravitational
spin-Hall effect of light. Due to this effect, the gravitational field splits a
multicomponent beam of unpolarized light and produces polarized gravitational
rainbow. The component separation is an accumulative effect observed in long
range asymptotics. To study this effect, we construct uniform eikonal expansion
and derive dynamical equation describing this effect. To analyse the dynamical
equation, we present it in the local space and time decomposition form. The
spatial part of the equation presented in the related optical metric is
analogous to the dynamical equation of a charged particle moving in magnetic
field under influence of the Coriolis force.
