Doppler effect and Hubble effect in different models of space-time in the case of auto-parallel motion of the observer

Abstract

Doppler effect and Hubble effect in different models of space-time in the case of auto-parallel motion of the observer are considered. The Doppler effect and shift frequency parameter are specialized for the case of auto-parallel motion of the observer. The Hubble effect and shift frequency parameter are considered for the same case. It is shown that by the use of the variation of the shift frequency parameter during a time perod, considered locally in the proper frame of reference of an observer, one can directly determine the centrifugal (centripetal) relative velocity and acceleration as well as the Coriolis relative velocity and acceleration of an astronomical object moving relatively to the observer. All results are obtained on purely kinematic basis without taking into account the dynamic reasons for the considered effect. PACS numbers: 98.80.Jk; 98.62.Py; 04.90.+e; 04.80.Cc

arXiv comment12 pages, LaTex

References in corpus (4)

• Normal frames and the validity of the equivalence principle
• Normal frames and the validity of the equivalence principle. III. The case along smooth maps with separable points of self-intersection
• Galaxies as Rotating Buckets - a Hypothesis on the Gravitational Constant Based on Mach's Principle
• Mechanics of Continuous Media in $({\bar{L}}_n,g)$-spaces. I. Introduction and mathematical tools