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Journal Articles European Journal of Physics Year : 2016

Redshift formulas and the Doppler-Fizeau effect

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Abstract

In this paper, we show that redshifts, which appear in some pedagogical examples, can be expressed in terms of the Doppler-Fizeau effect. For this purpose, we use, as suggested by Weyl, the worldline elements of two physical events: the emission and the reception of a monochromatic wave. The redshift in special relativity and its Galilean approximation are derived in a simpler way than is usually done. In general relativity, the cosmological redshift can be obtained with the general Weyl formula in three important cases of gravitational fields, even though the gravitational redshift, due to bodies running away from each other, cannot be reduced to a simple kinematic effect.
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Dates and versions

insu-03670556 , version 1 (17-05-2022)

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José-Philippe Pérez. Redshift formulas and the Doppler-Fizeau effect. European Journal of Physics, 2016, 37, ⟨10.1088/0143-0807/37/1/015604⟩. ⟨insu-03670556⟩
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