Abstract
Light propagating through Dark Matter suffers gravitational frequency shifts. We derive the differential equation and its solution for spherical Dark Matter. This is then applied to condensed neutrino objects (CNO) which are a candidate for Dark Matter. The Local Group of Galaxies seems to be embedded within a CNO (Morley and Buettner in MDPI Universe 3(4):81, 2017), and we derive the gravitational frequency shift of light from M33 and M31 to the Milky Way. For a galaxy embedded in a general CNO, we present the link analysis of how the gravitational frequency shift is computed. In general, all these gravitational frequency shifts are small, even though CNO would be the largest and most massive Dark Matter in the Universe.
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