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

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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.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

The third wheel: ringdown and lensing of triple systems

gr-qc · 2026-05-19 · unverdicted · novelty 6.0

Numerical relativity simulations of triple black hole systems reveal redshift effects and gravitational lensing in ringdown signals from head-on mergers, with no additional black hole formation from amplified waves.

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  • The third wheel: ringdown and lensing of triple systems gr-qc · 2026-05-19 · unverdicted · none · ref 50 · internal anchor

    Numerical relativity simulations of triple black hole systems reveal redshift effects and gravitational lensing in ringdown signals from head-on mergers, with no additional black hole formation from amplified waves.