The standard cosmic model nearly everybody uses these days is called LambdaCDM. Lambda is the cosmological constant introduced by Einstein around 1917. CDM is cold dark matter. These people took the trouble to see what happens when you set up a bounce cosmology with the prior contracting phase like our standard universe! Same Lambda constant, same CDM, same physics. Not a toy model.
They found they could dispense with inflation! The effects we normally appeal to inflation to produce, the motivating
raisons d'être for making up exotic "inflaton" fields and inflation scenarios, were achieved more simply. So that by itself was interesting. Here's the paper, since you are interested in research about conditions before the start of expansion you might like to see if there is any of it you can understand---it has some relatively non-technical parts at the beginning and end (introduction and conclusions).
You can get it by googling "LambdaCDM bounce", the PDF file with diagrams is freely downloadable. Here's the link and abstract summary.
http://arxiv.org/abs/1412.2914
A ΛCDM bounce scenario
Yi-Fu Cai,
Edward Wilson-Ewing
(Submitted on 9 Dec 2014 (
v1), last revised 28 Jan 2015 (this version, v2))
We study a contracting universe composed of cold dark matter and radiation, and with a positive cosmological constant. As is well known from standard cosmological perturbation theory, under the assumption of initial quantum vacuum fluctuations the Fourier modes of the comoving curvature perturbation that exit the (sound) Hubble radius in such a contracting universe at a time of matter-domination will be nearly scale-invariant. Furthermore, the modes that exit the (sound) Hubble radius when the effective equation of state is slightly negative due to the cosmological constant will have a slight red tilt, in agreement with observations. We assume that loop quantum cosmology captures the correct high-curvature dynamics of the space-time, and this ensures that the big-bang singularity is resolved and is replaced by a bounce. We calculate the evolution of the perturbations through the bounce and find that they remain nearly scale-invariant. We also show that the amplitude of the scalar perturbations in this cosmology depends on a combination of the sound speed of cold dark matter, the Hubble rate in the contracting branch at the time of equality of the energy densities of cold dark matter and radiation, and the curvature scale that the loop quantum cosmology bounce occurs at. Importantly, as this scenario predicts a positive running of the scalar index, observations can potentially differentiate between it and inflationary models. Finally, for a small sound speed of cold dark matter, this scenario predicts a small tensor-to-scalar ratio.
14 pages, 8 figures