The Doppler shift in a Schwarzschild spacetime
A. Radosz, A.T. Augousti, K. Ostasiewicz
TL;DR
This paper analyzes how Doppler shifts in Schwarzschild spacetime can be separated into relativistic, kinematical, and gravitational parts, deriving conditions for full factorization and discussing potential GPS applications.
Contribution
It introduces a method to factorize Doppler shifts in Schwarzschild spacetime into distinct physical contributions and derives conditions for complete factorization.
Findings
Doppler shift partially factorizes into relativistic, kinematical, and gravitational terms
Conditions for full factorization are derived
Potential applications to GPS are discussed
Abstract
We demonstrate that in the case of Schwarzschild spacetime the Doppler shift is partially factorized into terms representing relativistic, kinematical and the gravitational contributions. The condition for the complete factorization is derived. Application of these results to the simplest cases and possible implementation in the framework of GPS is briefly discussed.
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