Propagation of signals in spaces with affine connections and metrics as models of spacetime

摘要

The propagation of signals in spacetime is considered on the basis of the notion of null (isotropic) vector field in spaces with affine connections and metrics [((L) over bar (n), g) spaces] as models of space or spacetime. The Doppler effect is generalized for these types of spaces. The notions of aberration, standard (longitudinal) Doppler effect, and transverse Doppler effect are introduced. On their grounds, the Hubble effect appears as Doppler effect with explicit forms of the centrifugal (centripetal) and Coriolis velocities and accelerations in spaces with affine connections and metrics. 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.