All of cosmology currently ascribes to the hot big bang. The issue of contention is what occurred near the singularity. That is, our models work superb until a fraction of a second after the expansion of spacetime [10^(-34) seconds], but prior to that things become fuzzy. A model called 'inflation' looks likely. We also are in need of a GUT (e.g., supersymmetry) and a TOE (e.g., string/M-theory), before we better describe the 'events' prior to 10^(-34).

The big bang is the only valid account describing the evidence that we see after 10^(-34). There is also accumulating evidence of inflation as we have started to analyze the CMB (cosmic microwave backround) in more detail.

Warm regards, Harv