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Abstract
A coupling between a light scalar field and neutrinos has been widely discussed as amechanism for linking (time varying) neutrino masses and the present energy density andequation of state of dark energy. However, it has been pointed out that the viability of thisscenario in the non-relativistic neutrino regime is threatened by the strong growth ofhydrodynamic perturbations associated with a negative adiabatic sound speedsquared. In this paper we revisit the stability issue in the framework of linearperturbation theory in a model independent way. The criterion for the stability ofa model is translated into a constraint on the scalar–neutrino coupling, whichdepends on the ratio of the energy densities in neutrinos and cold dark matter. Weillustrate our results by providing meaningful examples for both stable and unstablemodels.
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