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The kinematic origin of relativistic frequency shifts

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journal contribution
modified on 23.06.2016, 16:28
We derive the generic expression for relativistic frequency shifts via photon kinematics and show that in case of normal coordinates, it reduces to the Doppler factor with relative velocities evaluated via parallel transport. As an application of this generalized Doppler effect, we derive cosmological redshift in Friedmann cosmology and gravitational redshift in Schwarzschild cosmology.