Degenerate Fermi gas perturbations at standard background cosmology

Abstract

The hypothesis of a tiny fraction of the cosmic inventory evolving cosmologically as a degenerate Fermi gas test fluid at some dominant cosmological background is investigated. Our analytical results allow for performing preliminary computations to the evolution of perturbations for relativistic and non-relativistic test fluids. The density fluctuation, $\delta$, the fluid velocity divergence, $\theta$, and an explicit expression for the dynamics of the shear stress, $\sigma$, are obtained for a degenerate Fermi gas in the background regime of radiation. Extensions to the dominance of matter and to the $\Lambda$CDM cosmological background are also investigated and lessons concerning the formation of large structures of degenerate Fermi gas are depicted.

20 pages, 4 figures

References in corpus (5)

• Massive neutrinos and cosmology
• Constraints on Sterile Neutrino Dark Matter
• Universal properties of Dark Matter halos
• Mass varying dark matter in effective GCG scenarios
• Naturalness and stability of the generalized Chaplygin gas in the seesaw cosmon scenario

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• Reproducing neutrino effects on the matter power spectrum through a degenerate Fermi gas approach