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Cosmological entropy conservation

Thermal decoupling in cosmology

Cosmic neutrino background

Relic-neutrino energy density

Expanding the <relic-neutrino energy density> at $T_\nu/a\ll m_\nu$ gives
$$
\langle v^2\rangle^{1/2}\simeq
\sqrt{\frac{15\zeta(5)}{\zeta(3)}}\frac{T_\nu}{am_\nu}.
$$
The thermal speed decreases as $a^{-1}$ after the neutrinos become nonrelativistic.

Late-time relic-neutrino speed

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 310 / 3 / d / Solution

Late-time relic-neutrino speed

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Late-time relic-neutrino speed

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