The Quasi--Steady State Cosmology: A Problem of Stability

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology: Theory

Scientific paper

This paper examines the gravitational stability against small perturbations of the quasi--steady state cosmological model. This model was first introduced by Hoyle et al., who in subsequent papers looked at its various theoretical and observational implications. Here we carry out a perturbation analysis of the exact solution of the field equations obtained by Sachs et al. in the non-creative mode which describes the oscillatory feature of this model. We show that the perturbations grow only to a limited amount and then fall off, thus confirming the stability of the solution. We discuss the implications of this result for structure formation in this cosmology.

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