Alberto Diez-Tejedor, Alma X. Gonzalez-Morales
Classical scalar fields have been proposed as a possible solution to the dark matter problem in galaxies. We show that, within the framework of general relativity, no static, spherically symmetric, regular, spatially localized, attractive, stable configuration can be sourced by the coherent excitation of a scalar field with positive definite energy density and no Noether charges. This result extends Derrick's theorem to the case of a general (non-canonical) scalar field, including the self-gravitational effects. Some possible way-outs are briefly discussed.
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http://arxiv.org/abs/1306.4400
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