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Neutrino Cosmology by Sergio Pastor, Gianpiero Mangano, Gennaro Miele, Julien Lesgourgues

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5.3 Effects of neutrinos on primary cosmic microwave background anisotropies

5.3.1 How can decoupled species affect the cosmic microwave background?

It is always difficult to discuss the impact of a given species (neutrinos, CDM, early dark energy, etc.) on the CMB, because several effects mix with each other, and it is sometimes impossible to separate them clearly. However, we can make a general classification of these effects, which will help us to understand the effect of massless or massive neutrinos in the next subsections.

Species coupled only gravitationally with the photon–baryon(–electron) fluid can only impact the CMB through the Friedmann equation, or through the recombination history, or finally, through the linearized Einstein equations ...

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