Centrifugal (centripetal) and Coriolis velocities and accelerations in spaces with affine connections and metrics as models of space-time

Details Centrifugal (centripetal) and Coriolis velocities and accelerations in spaces with affine connections and metrics as models of space-time Centrifugal (centripetal) and Coriolis velocities and accelerations in spaces with affine connections and metrics as models of space-time

2003-09-09

arxiv.org/abs/gr-qc/0309051v1

Central Europear Journal of Physics (CEJP) 4 (2003) 669-694

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, LaTeX, to appear in Central European Journal of Physics

Scientific paper

The notions of centrifugal (centripetal) and Coriolis velocities and accelerations are introduced and considered in spaces with affine connections and metrics used as models of space or of space-time. It is shown that these types of velocities and accelerations are generated by the relative motions between mass elements in a continuous media or of particles. The velocities and accelerations are closely related to the kinematic characteristics of the relative velocity and of the relative acceleration. The relation between the centrifugal (centripetal) velocity and the Hubble law is found. The centrifugal (centripetal) acceleration could be interpreted as gravitational acceleration as it has been done in the Einstein theory of gravitation. This fact could be used as a basis for working out of new gravitational theories in spaces with affine connections and metrics.

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