The stability borders of cosmological density perturbations in de Donder gauge; scales of superclusters of galaxies being favoured.

Details The stability borders of cosmological density perturbations in de Donder gauge; scales of superclusters of galaxies being favoured. The stability borders of cosmological density perturbations in de Donder gauge; scales of superclusters of galaxies being favoured.

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ncimb.112.1315r&link_type=abstract

Nuovo Cimento B, Vol. 112B, No. 10, p. 1315 - 1335

Mathematics

Logic

1

Cosmological Models: Density Perturbations, Cosmological Models: Superclusters, Cosmological Models: Condensation

Scientific paper

For the propagation of density perturbations on a flat Robertson-Walker background the stability-instability borders (SIBs) are determined in the de Donder gauge. A subtler definition of the SIBs leads to a modification of former results and a new class of SIBs near which perturbation growing is very strong. In general, there are SIBs with the character of lower-mass borders of perturbations for gravitationally growing and upper-mass borders. A physically realistic model for the cosmological substratum at the epoch of hydrogen recombination and times before is considered. For the matter perturbations on it their ability of radiation capturing is explicitly taken into account, which leads to a scale-dependent velocity of sound. The calculation of the SIBs in this concrete model shows that the important cosmological epoch for density growing is given by z ⪉ 6800 and that by a pure gravitational point of view superclusters and clusters of galaxies are preferred for condensation. This is independent of the special matter/radiation coupling and corresponds to a scenario "from the top to the bottom".

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