Equilibrium and stability of neutrino lumps as TOV solutions

Details Equilibrium and stability of neutrino lumps as TOV solutions Equilibrium and stability of neutrino lumps as TOV solutions

2010-08-20

arxiv.org/abs/1008.3559v1

Gen. Rel. Grav.43: 245-260,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

20 pages, 5 figures

Scientific paper

10.1007/s10714-010-1089-y

We report about stability conditions for static, spherically symmetric objects that share the essential features of mass varying neutrinos in cosmological scenarios. Compact structures of particles with variable mass are held together preponderantly by an attractive force mediated by a background scalar field. Their corresponding conditions for equilibrium and stability are given in terms of the ratio between the total mass-energy and the spherical lump radius, $M/R$. We show that the mass varying mechanism leading to lump formation can modify the cosmological predictions for the cosmological neutrino mass limits. Our study comprises Tolman-Oppenheimer-Volkoff solutions of relativistic objects with non-uniform energy densities. The results leave open some questions concerning stable regular solutions that, to an external observer, very closely reproduce the preliminary conditions to form Schwarzschild black holes.

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