Static structure of general-relativistic degenerate configurations - Effects of a core

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Fermions, Gravitation Theory, Relativistic Theory, Cores, Mass Distribution, Missing Mass (Astrophysics), Numerical Integration

Scientific paper

Models of spherically-symmetric static systems made up of self-gravitating completely degenerate neutral fermions containing a core are constructed within the framework of general relativity and the effects of different core masses and compactness on the properties of the system are examined. For the specific case where the fermions are massive neutrinos (approximately equal to 10 eV) it is possible to have a neutrino halo with a normal Galaxy, or a cluster of galaxies, as the core, with the right values of mass and radius required of the 'invisible halo' in the missing mass problem. The suggestive nature of these results calls for further studies using a more realistic equation of state.

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