It's not standard cosmology, but there are arguments for the universe being
inside a black hole which would make the big bang a white hole.
... In other words, we cannot rule out the possibility that the universe is a very large white hole. Only by waiting many billions of years until the edge of the sphere comes into view could we know.
http://math.ucr.edu/home/baez/physics/Relativity/BlackHoles/universe.html"
You could argue that being on the other side of a black hole is perhaps not the same as being in a black hole but if you look at the figures that you would expect of a ginormous black hole which has the mass of the universe, you will find that it would have about the density of the universe and it would also have a Schwartzschild radius which is about that of the universe.
Abstract from AJP article http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=AJPIAS000062000009000788000001&idtype=cvips&gifs=yes" :
A Schwarzschild radial coordinate R is presented for the Friedmann dust-filled cosmology models. It is shown that a worldline of constant Schwarzschild radial coordinate in the dust-filled universe is instantaneously null at Rn=2GM/c2, where M is the Schwarzschild mass inside the sphere R=Rn. It is also shown that Mp=3c3/4G, where Mp is the proper mass inside R=Rn and is the age of the universe. The Rn=2GM/c2 result in Friedmann dust-filled cosmology is made physically significant by abandoning the cosmological principle and adjoining segments of Friedmann dust to segments of Schwarzschild vacuum. In the resulting cosmology model, the observable universe may lie inside a black or white hole.
The white hole thing seems to threaten the statement "time was created in the big bang" because the white hole is the other side of a black hole which must have been there
before the big bang, but that is not really the case.
If the universe is inside a black hole and the big bang was a white hole, then if we were to look outside (it's not possible, just work with me for a moment), then the ultraverse (new word? is extraverse better?) that formed our black hole/white hole big bang would we long gone. Time in a supermassive black hole's gravity well would be affected such that by the instant that the white hole became the big bang, time would pretty much be over in the ultraverse. No time relevant to our universe existed before the big bang.
In fact, I'd think that all the contents of the previous universe/ultraverse would have ended up in the one black hole. How could that happen if the previous universe/ultraverse runs similarly to ours and therefore expands? Well, it would be the http://en.wikipedia.org/wiki/Big_Crunch" .
The universe certainly expands, but not without exception - it seems that mass somehow resists expansion, which is why galaxies stick together. A mechanism which might explain this is that the universe expands with the Hubble constant which is the inverse of the age of the universe, modified by a gravitational constant.
At the end of the first Planck time, all the energy of the universe would have been compressed to the maximum. At that time, the Hubble constant would be enormous (one on Planck time) such that things that were one Planck length apart would move apart at the speed of light. Against that would be the enormous gravitational effects (there may also have been a lot of heat and consequent kinetic effects, but there wasn't any spare space to move around in).
Now, all the energy of the universe would be substantially more than could fit into a single Planck cube. So between t=0 and t=t
pl, you would get this relatively huge glob of energy appearing - I calculate it to have dimensions of about 10
-15m which is big compared to a Planck length. This is the primordial universe, so there aren't really edges but, in the same way as the edges of the observable universe (at the Hubble distance) today are moving away at light speed, the edges of the primordial universe (at greater than the Hubble distance of the time, which was one Planck length) were moving away at a speed faster than the speed of light - but modified by the enormous gravity.
The overall effect would be "inflation" until something close to balance was acheived and the universe would continue to expand a fashion similar to today (moderate value of Hubble constant, modified by the gravitational effect, which is weaker because of the distances involved).
Now, if decrease of Hubble constant > decrease of gravitational effect, then we will end up with a big crunch. Current observations are interpreted such that cosmological expansion is in fact accelerating, which seems odd if the Hubble constant has anything to do with the age of the universe. But, remember, at the beginning the universe was bigger than the Hubble distance and the expansion of the universe as a whole was therefore faster than you would expect today if the universe was at a
http://en.wikipedia.org/wiki/Friedmann_equations#The_density_parameter" of 1.
So, the universe could still be accelerating today, at a decreasing rate, and on its way to a deceration phase followed by an accelerating contraction phase.
Once everything has contracted, our universe ends up as a black hole and, inside it, a new universe is formed ...
I say again, it isn't standard cosmology. It works for me, but there may be some major issues with it (looking again at the http://en.wikipedia.org/wiki/Big_crunch" , I would not be alone in thinking that it is possible for the universe to renew itself in some form of cosmological recycling - where I may differ is thinking that there could be a consistent relationship between Hubble constant and gravity which explains inflation, current accelerating expansion and ultimately a big crunch).
cheers,
neopolitan