2002/12/09 by Sawa Manoff, Manoff, Sawa
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0212038
29 pages, LaTeX. This is an extended version with new results and considerations
openalex publication_date 2002/12/09 · arxiv created 2003/02/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The notions of centrifugal (centripetal) and Coriols' velocities and accelerations are introduced and considered in spaces with affine connections and metrics as velocities and accelerations of flows of mass elements (particles) moving in space-time. It is shown that these types of velocities and accelerations are generated by the relative motions between the mass elements. They are closely related to the kinematic characteristics of the relative velocity and the relative acceleration. The null (isotropic) vector fields are considered and their relations with the centrifugal (centripetal) velocity are established. The centrifugal (centripetal) velocity is found to be in connection with the Hubble law and the generalized Doppler effect in spaces with affine connections and metrics. 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.