Mark Zilberman. Does "doppler boosting / de-boosting" exist within the framework of General Relativity? First approximation
Submitted on: Nov 10, 2021, 20:38:09
Natural Sciences / Astronomy / Astrophysics
Description: The "Doppler boosting / de-boosting" relativistic effect increases / decreases the apparent luminosity of approaching / receding sources of radiation. This effect was analyzed in detail within the Special Relativity framework and was confirmed in many astronomical observations. It is however not clear if "Doppler boosting / de-boosting" exists in the framework of General Relativity as well, and if it exists, which equations describe it. Presented thought experiment, using "Einstein's elevator" model and Einstein's "Equivalence principle" allows to obtain the formula for "Doppler boosting / de-boosting" for a uniform gravitational field within the vicinity of the emitter/receiver.
The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.
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Doppler boosting in GR.pdf