Interference with Gravitational Instability: Hot and Fuzzy Dark Matter

Kavli Affiliate: Wayne Hu

| First 5 Authors: Rayne Liu, Wayne Hu, Huangyu Xiao, ,

| Summary:

Wave or fuzzy dark matter produced with high momenta behaves in many ways
like hot particle dark matter while also possessing seemingly different
phenomenology due to wave interference. We develop wave perturbation theory to
show that white noise density fluctuations generated by the interference of
high-momenta waves are gravitationally unstable in the usual way during matter
domination above the free streaming scale and stabilize below the free
streaming scale, much like the analogous effects for massive neutrinos in hot
dark matter. We verify and illustrate these effects in the density power
spectra of Newtonian Schr"odinger-Poisson simulations. In the cosmological
context, this would cause a gradual suppression of the initial white noise
isocurvature perturbations below the free streaming scale at matter radiation
equality, unlike cold dark matter isocurvature fluctuations, and virial
stability of dark matter halos.

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