Physics – Fluid Dynamics
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48.3527z&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 8, 15 October 1993, pp.3527-3538
Physics
Fluid Dynamics
3
Relativistic Fluid Dynamics
Scientific paper
Scalar perturbations of a four-fluid cosmological model are investigated for the case that two of the fluid components are charged. The normal modes of a mixture of ionized hydrogen, radiation, and dark matter before hydrogen recombination are determined analytically for several limiting cases. The corresponding modes in an electron-positron plasma are also studied. Well-known growing and decaying modes of fluid cosmologies are recovered. Additionally, plasma oscillations both on scales larger and smaller than the Hubble horizon are found. All modes are gauge-invariantly characterized in terms of thermodynamical variables on comoving hypersurfaces. While the plasma oscillations decay and do not essentially influence the gravitational instability scenario, the latter is modified by the possibility of growing baryonic energy density perturbations as soon as the dark matter becomes dynamically dominating. At the decoupling time of matter and radiation all the matter, including the baryonic one, may be more clumpy than the radiation. The picture of baryons falling into the dark matter potential wells after decoupling turns out to be superfluous.
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