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

TL;DR

This paper investigates how the Doppler and Hubble effects manifest in various space-time models during auto-parallel observer motion, enabling direct kinematic determination of relative velocities and accelerations without dynamic assumptions.

Contribution

It introduces a method to determine relative velocities and accelerations from shift frequency variations in different space-time models, based solely on kinematic principles.

Findings

Shift frequency variation allows direct velocity and acceleration measurement.

Results are model-independent and do not rely on dynamic explanations.

Method applicable to astronomical observations in various space-time frameworks.

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