THE QUASI-STEADY-STATE COSMOLOGY - A PROBLEM OF STABILITY

This paper examines the gravitational stability against small perturba tions of the quasi-steady state cosmological model. This model was fir st 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 o btained by Sachs et al. in the noncreative mode which describes the os cillatory feature of this model. We show that the perturbations grow o nly to a limited amount and then fall off, thus confirming the stabili ty of the solution. We discuss the implications of this result for str ucture formation in this cosmology.