The Formation of the Nebulae

Mathematics – Logic

Scientific paper

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Scientific paper

The growth of condensations in the pressure-free cosmological models of general relativity (with Λ = 0) is studied by using a simplified model of a condensation. It is shown that, although condensations can form from quite small perturbations in the density of the cosmic medium, the perturbations required to account for the formation of the nebulae by the present time are nevertheless much larger than those which would be expected from ordinary statistical theory. The Lemaitre point-source model (with Λ ≠ 0) seems no more favourable to the growth of condensations. It is concluded that unless some source of larger perturbations can be discovered, it will be necessary to abandon the point-source models in favour of others with a longer time-scale, for example, the disturbed Einstein model.

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