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Propagation of signals in spaces with affine connections and metrics as models of space-time

Sawa Manoff
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Abstract

The propagation of signals in space-time is considered on the basis of the notion of null (isotropic) vector field in spaces with affine connections and metrics as models of space or of space-time. The Doppler effect is generalized for these types of spaces. The notions of aberration, standard (longitudinal) Doppler effect, and transversal Doppler effect are considered. On their grounds, the Hubble effect appears as Doppler effect with explicit forms of the centrifugal (centripetal) and Coriolis velocities and accelerations. Doppler effect, Hubble effect, and aberration could be used in mechanics of continuous media and in other classical field theories in the same way as the standard Doppler effect is used in classical and relativistic mechanics.

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Sawa Manoff. 2003-09-09. Propagation of signals in spaces with affine connections and metrics as models of space-time. https://arxiv.org/abs/gr-qc/0309050

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