The Doppler shift in a Schwarzschild spacetime

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.

Accepted for publishing in Physics Letters A

References in corpus (5)

• Time transfer and frequency shift to the order 1/c^4 in the field of an axisymmetric rotating body
• Relativity of GPS Measurement
• Introducing Relativity in Global Navigation Satellite Systems
• The twin paradox on the photon sphere
• Coordinate time and proper time in the GPS

Cited by in corpus (5)

• On the Doppler effect for light from orbiting sources in Kerr-type metrics
• Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces
• Unified approach to redshift in cosmological /black hole spacetimes and synchronous frame
• Matter waves and clocks do not observe uniform gravitational fields
• The infalling photon, the infalling particle, and the observer at rest near the horizon of a black hole