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A complex scalar field has recently been suggested to bind galaxies and flatten the rotation curves of spirals. Its cosmological behavior is thoroughly investigated here. Such a field is shown to be a potential candidate for the cosmological dark matter that fills up a fraction ₂₃₌0. 3 of the Universe (where CDM denotes cold dark matter). However, problems arise when the limits from galactic dynamics and some cosmological constraints are taken simultaneously into account. A free complex field, associated with a very small mass m10^-23 eV, has a correct cosmological behavior in the early Universe, but behaves today mostly as a real axion, with a problematic value of its conserved quantum number. On the other hand, an interacting field with quartic coupling 0. 1 has a more realistic mass m1 eV and carries a quantum number close to the photon number density. Unlike a free field, it would be spinning today in the complex plane---such as the so-called ``spintessence. '' Unfortunately, the cosmological evolution of such a field in the early Universe is hardly compatible with constraints from nucleosynthesis and structure formation.
Arbey et al. (Wed,) studied this question.
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