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• W2046458892 abstract "We study the evolution of linear density fluctuations of free-streaming massive neutrinos at redshift of $z<1000$, with an explicit justification on the use of a fluid approximation. We solve the collisionless Boltzmann equation in an Einstein de-Sitter (EdS) universe, truncating the Boltzmann hierarchy at ${l}_{mathrm{max}}=1$ and 2, and compare the resulting density contrast of neutrinos ${ensuremath{delta}}_{ensuremath{nu}}^{mathrm{fluid}}$ with that of the exact solutions of the Boltzmann equation that we derive in this paper. Roughly speaking, the fluid approximation is accurate if neutrinos were already nonrelativistic when the neutrino density fluctuation of a given wave number entered the horizon. We find that the fluid approximation is accurate at subpercent levels for massive neutrinos with ${m}_{ensuremath{nu}}>0.05text{ }text{ }mathrm{eV}$ at the scale of $kensuremath{lesssim}1.0htext{ }text{ }{mathrm{Mpc}}^{ensuremath{-}1}$ and redshift of $z<100$. This result validates the use of the fluid approximation, at least for the most massive species of neutrinos suggested by the neutrino oscillation experiments. We also find that the density contrast calculated from fluid equations (i.e., continuity and Euler equations) becomes a better approximation at a lower redshift, and the accuracy can be further improved by including an anisotropic stress term in the Euler equation. The anisotropic stress term effectively increases the pressure term by a factor of $9/5$." @default.
• W2046458892 created "2016-06-24" @default.
• W2046458892 creator A5043630302 @default.
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• W2046458892 date "2010-06-15" @default.
• W2046458892 modified "2023-10-16" @default.
• W2046458892 title "Massive neutrinos in cosmology: Analytic solutions and fluid approximation" @default.
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• W2046458892 doi "https://doi.org/10.1103/physrevd.81.123516" @default.
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