
TL;DR
This paper investigates whether neutrinos with approximately 10 eV mass can account for dark matter in galactic halos by modeling their gravitational clustering and comparing results with observational data.
Contribution
It introduces a model of neutrino clustering in galaxies using a degenerate Fermi gas and polytropic equations, providing new insights into neutrino-based dark matter.
Findings
Neutrino density profiles consistent with galactic rotation curves
Galactic sizes compatible with neutrino mass around 10 eV
Implications for cosmology based on neutrino dark matter hypothesis
Abstract
Solar, atmospheric and reactor neutrino experiments established that neutrinos are massive. It is quite natural then to consider neutrinos as candidate particles for explaining the dark matter in halos around galaxies. We study the gravitational clustering of these neutrinos within a model of a massive core and a surrounding spherical neutrino halo. The neutrinos form a degenerate Fermi gas and a loaded polytropic equation is established. We solve the equation and we obtain the neutrino density in a galaxy, the size of the galaxy and the galactic rotational curves. The available data favor a neutrino with a mass around 10eV. The consequent cosmological implications are examined.
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