Centrifugal (centripetal) and Coriolis velocities and accelerations in spaces with affine connections and metrics as models of space-time
arXiv:gr-qc/0309051 · doi:10.2478/BF02475910
Abstract
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.
26 pages, LaTeX, to appear in Central European Journal of Physics
References in corpus (9)
- Kinematics of vector fields
- A Characterisation of the Weylian Structure of Space-Time by Means of Low Velocity Tests
- Flows and particles with shear-free and expansion-free velocities in (L^-_n,g)- and Weyl's spaces
- Centrifugal (centripetal) and Coriolis velocities and accelerations in spaces with affine connections and metrics as models of space-time
- Flows and particles with centrifugal (centripetal) and Coriolis' velocities and accelerations. Hubble's law in spaces with affine connections and metrics
- Mechanics of Continuous Media in -spaces. I. Introduction and mathematical tools
- Mechanics of Continuous Media in -Spaces. II. Relative velocity and deformations
- Mechanics of Continuous Media in -Spaces. IV. Stress (Tension) Tensor
- Mechanics of Continuous Media in -Spaces. III. Relative Accelerations