Static structure of general relativistic, partially degenerate, self-gravitating, lepton configurations. I Numerical scheme

Astronomy and Astrophysics – Astrophysics

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Density Distribution, Galactic Structure, Gravitational Fields, Leptons, Particle Density (Concentration), Relativistic Particles, Mass Distribution, Missing Mass (Astrophysics), Spiral Galaxies

Scientific paper

The Oppenheimer-Volkoff (1939) equations for isothermal, partially degenerate neutral lepton configurations have been solved numerically for arbitrary temperature and degree of degeneracy. For the specific case where the leptons are massive neutrinos (about 30 eV) with properties tightly constrained by cosmological considerations, it is found that it is possible to have a neutrino halo surrounding a normal galaxy with the right values of mass and radius required of the 'invisible halo' in the missing mass problem. The density distribution, however, yields a rotational curve which, with the present chosen values of parameters, does not fit the observations for spiral galaxies.

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