Equilibrium and stability of neutrino lumps as TOV solutions |
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Authors: | A E Bernardini |
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Institution: | 1.Departamento de Física,Universidade Federal de S?o Carlos,S?o Carlos,Brazil |
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Abstract: | 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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