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.

中文翻译：

---

局域群中的暗物质引力光谱位移

通过暗物质传播的光会受到引力频率的影响。我们推导出球形暗物质的微分方程及其解。然后将其应用于作为暗物质候选者的凝聚中微子物体 (CNO)。本地星系群似乎嵌入在一个 CNO 中（Morley 和 Buettner 在 MDPI Universe 3(4):81, 2017 中），我们推导出光从 M33 和 M31 到银河系的引力频移。对于嵌入在通用 CNO 中的星系，我们提供了如何计算引力频移的链接分析。一般来说，所有这些引力频移都很小，即使 CNO 将是宇宙中最大、质量最大的暗物质。