On the Doppler effect for light from orbiting sources in Kerr-type metrics

Abstract

A formula is derived for the combined motional and gravitational Doppler effect in general stationary axisymmetric metrics for a photon emitted parallel or antiparallel to the assumed circular orbital motion of its source. The same formula is derived from eikonal approximation and Killing vector approaches to elucidate connections between observational astronomy and modern Relativity. The formula yields expected results in the limits of a moving or stationary source in the exterior Kerr and Schwarzschild metrics and a moving source in flat space.

Accepted for publication in in Monthly Notices of the Royal Astronomical Society Main Journal 1.23.15. This version has substantially shortened and clarified derivations and added content regarding applicability of the derivations

References in corpus (5)

• Evidence for Low Black Hole Spin and Physically Motivated Accretion Models from Millimeter VLBI Observations of Sagittarius A*
• Imaging an Event Horizon: Mitigation of Scattering Toward Sagittarius A*
• Constraining the distribution of dark matter at the Galactic centre using the high-resolution Event Horizon Telescope
• Ray-tracing in pseudo-complex General Relativity
• The Doppler shift in a Schwarzschild spacetime

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