Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..41..183e&link_type=abstract
Astrophysics and Space Science, vol. 41, May 1976, p. 183-193.
Astronomy and Astrophysics
Astrophysics
12
Astronomical Models, Big Bang Cosmology, Galactic Evolution, Perturbation Theory, Space Density, Universe, Asymptotic Methods, Background Radiation, Microwave Emission, Thomson Scattering
Scientific paper
Exact solutions to Bonnor's (1957) density perturbation equation, which governs the growth of relative perturbations in an expanding universe, are presented for two asymptotic model universes with nonzero cosmological constants. General solutions are obtained which are linear combinations of a growing solution and a decaying solution; an amplification factor is introduced in order to investigate the growth that can be achieved over a given period of time. The solutions are used in a quantitative analysis to calculate the exact magnitude of the perturbations that must have existed at decoupling in order to explain the formation of galaxies in the model universes. It is concluded that density perturbations of the order obtained should produce observable fluctuations in the microwave background radiation, provided the Universe has remained optically thin since recombination and Thomson scattering has not smoothed out any inhomogeneities.
Edwards David
Heath David
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