Modified Dust and the Small Scale Crisis in CDM [CEA]

At large scales and for sufficiently early times, dark matter is described as a pressureless perfect fluid—dust—non-interacting with Standard Model fields. These features are captured by a simple model with two scalars: a Lagrange multiplier and an other playing the role of the velocity potential. We consider a simple version of this scenario with high derivative terms, such that the dust solutions are preserved at the background level, but there is a non-zero sound speed at the linear level. We associate this {\it Modified Dust} with dark matter, and study the linear evolution of cosmological perturbations in that picture. The most prominent effect is the suppression of the power spectrum at sufficiently small wavelengths. This can be relevant in view of the missing satellites problem. For even shorter cosmological modes, however, perturbations of Modified Dust are enhanced compared to the predictions of more common particle dark matter scenarios. This is a peculiarity of their evolution in radiation dominated background. We also briefly discuss clustering of Modified Dust. We write the system of equations in the Newtonian limit, and sketch the possible mechanism which could prevent the appearance of caustic singularities. The same mechanism may be relevant in light of the core-cusp problem.

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F. Capela and S. Ramazanov
Mon, 8 Dec 14

Comments: 19 pages, 3 figures