Mechanics problem

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Homework Statement



Assuming we used Hamilton's Principle to obtain the most general form of the Doppler shift for light. We said that it better be that kaua≠0. Show that this is the case.

(Use local Minkowski coordinates)

Homework Equations



Doppler shift equations

kaua≠0

The Attempt at a Solution



I am still trying to understand the re-derivation of the Doppler shift for light.
 

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