mdmaaz said:
Before the big bang the entire universe was squeezed down into an incredibly hot and small ball. ...
...Please share your ideas regarding this topic.
EDIT: Ben Crowell kindly pointed out that I didn't at first answer your question! My response must have really looked dumb. I will add this brief beginning paragraph that is more responsive:
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If expansion is fast enough it can defeat the tendency of concentrated matter to collapse.
And according to standard model, in the very early universe expansion was millions of times faster.
Indeed ordinary black hole models are constructed in non-expanding geometry---and only apply where expansion is slow enough to be neglected. So they are irrelevant here. What they describe would not work in the context of rapidly expanding geometry. There is no need to worry about this in discussing early universe.
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Now you can reasonably ask, if expansion of the very high density U was so fast, then how did that very rapid expansion get started? What are some reasonable conjectures about conditions right at the start?
That is the province of quantum cosmology (cosmology at extreme density where quantum effects can be expected to dominate.)
Now here is what I said earlier, without that introduction:
There is a new area of cosmology called Quantum Cosmology (QG) which studies what could have occurred around the start of expansion.
I'll try to get some links for you.
Here are several hundred QC research papers that have appeared in 2008 or later:
http://www-library.desy.de/cgi-bin/spiface/find/hep/www?rawcmd=dk+quantum+cosmology+and+date+%3E+2007&FORMAT=WWW&SEQUENCE=citecount%28d%29
Let me know if the site is slow, it gets a lot of traffic. (This is the German mirror of a Stanford U. site that is hopelessly slow and I'm worried this mirror site will get slow also.)
The papers here are not for you to read (there are 330 of them!

), just to glance at the list and see what the field looks like now. It is a fast growing field.
They construct models which may be testable by observations of the CMB (cosmic microwave background). These models are of conditions before during and immediately after what used to be called "the big bang". The aim is to try to understand it (using quantum theory) and to replace the singularity with something more realistic.
In physics a singularity is not considered a real thing in nature but a symptom that something is wrong with the theory that suffers from the singularity. So one tries to fix it.
Here is a popular treatment of QC:
http://www.einstein-online.info/spotlights/big_bangs
It is an essay called "A Tale of Two Big Bangs"
at the public outreach website of a branch of a research outfit called Max Planck Institute, the branch of the institute that studies quantum gravity, cosmology and related stuff. Here's more from them:
http://www.einstein-online.info/spotlights/cosmology/?set_language=en