Abstract
Conditions for the growth of small density perturbations in a self-gravitating fluid mixture of two components are studied using a dynamical systems approach.
It is shown that besides the existence of exponentially growing and decaying modes, which are present for values of the perturbation wave-number smaller than a critical value, two other, pure oscillatory, modes exist at all scales. Moreover it is shown that the growing mode always affects both components of the fluid and not only one of them. However, it is found that the growth of the density perturbations is different in the two components and depends on the scale of the pertubations.
It is shown that, at another critical scale, a resonance between the baryonic and the dark perturbations occurs. For dark matter particles having a mass ~ 30 eV, this critical scale at the time of recombination is of the same order of magnitude of typical galaxies.
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Macedo, P.G., de Carvalho, J.P.M. (1995). Formation of Galaxies in a Dark Matter Dominated Universe - A New Approach. In: Shapiro, M.M., Silberberg, R., Wefel, J.P. (eds) Currents in High-Energy Astrophysics. NATO ASI Series, vol 458. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0253-7_21
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DOI: https://doi.org/10.1007/978-94-011-0253-7_21
Publisher Name: Springer, Dordrecht
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