The gravitational red shift in a uniform field

Details The gravitational red shift in a uniform field The gravitational red shift in a uniform field

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990amjph..58..856d&link_type=abstract

American Journal of Physics, Volume 58, Issue 9, pp. 856-858 (1990).

Physics

5

Scientific paper

When a photon is transmitted from a source S through a uniform gravitational field for which the acceleration due to gravity is g to a detector D located a distance h above S, the frequency νD of the photon measured at the detector is less than the frequency νS measured at the source. The various assumptions and approximations employed in textbook analyses of this phenomenon are considered. The exact dependence of νD on νS, g, and h is then determined first on the conventional assumption that the frequency shift in a uniform gravitational field is the same as the frequency shift in a uniformly accelerating reference frame in field-free space and, second, on the more valid assumption that space-time is curved in a uniform gravitational field and the frequency shift in the field is a consequence of the space-time curvature. The expressions obtained depend not only on which of the above assumptions is made but also on the exact interpretation of the quantities g and h.

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