Abstract

RODRIGUEZ-MEZA, M.A.; HERNANDEZ-ALMADA, A.  and  MATOS, T.. Materia oscura escalar compleja (parte I): la versión hidrodinámica. Rev. mex. fís. E [online]. 2012, vol.58, n.1, pp.53-60. ISSN 1870-3542.

In this work we use the Euler hydrodynamic equations of fluids to study a model of galactic halos minimally coupled to a complex scalar field, which in the Newtonian limit they become the Schrodinger-Poisson system. Applying a Madelung transformation, this system of equations takes the form of hydrodynamics equations, where there are a self-interacting potential and a kind of quantum potential that depends non-linearly on the density of the fluid. In this theoretical framework we analyze the Jeans' instability, which is useful for finding the scale length of perturbations of the scalar field that will form structures. In other words, perturbations of the scalar field with lengths less than this threshold length, can not lead to the formation of galactic structures.

Keywords : Scalar fields; dark matter; fluid model; Jeans' instability.

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