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Originally posted by cragwolf
Even if Omega was precisely equal to one, you could still have a finite universe: in this case, its topology would have to be multiply-connected. For example, a 3-torus, a kind of 3-dimensional version of the surface of a doughnut, is flat everywhere, but its volume is finite. General relativity (and hence the standard big bang model) has nothing to say about topology. Perhaps this is a limitation, perhaps not. Anyway, here are some articles on the subject of cosmic topology:
The Topology of the Universe by Boudewijn F. Roukema
Topology of the Universe: Theory and Observations by Jean-Pierre Luminet and Boudewijn F. Roukema
Cosmic Topology by M. Lachieze-Rey and J.P.Luminet
Topology and the Cosmic Microwave Background by Janna Levin
Constraining the Topology of the Universe by Neil J. Cornish, David N. Spergel, Glenn D. Starkman and Eiichiro Komatsu
Originally posted by marcus
It was Ranyart who mentioned this one
http://arxiv.org/hep-th/0311030 [Broken]
"Black Holes in de Sitter Space: Masses, Energies and Entropy Bounds"
a paper by Corichi and Gomberoff analysing a black hole (entropy, hawking radiation, evaporation and all that) in the "isolated horizon" situation.
In that situation there are two horizons---the BH's own event horizon and a cosmological horizon (from beyond which nothing can ever come)
Ashtekar has been doing a lot of research on this situation. It is realistic in the sense that assuming a positive cosmological constant we really do have a cosm. horizon. Accelerating expansion causes it.
Having the other horizon helps limit things and makes it possible to do analysis where one could not before (with the BH just sitting by itself in an infinite expanse of space).
A couple of other BH articles came to light recently
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Maulik Parikh
http://arxiv.org/hep-th/0402166 [Broken]
"Energy Conservation and Hawking Radiation"
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Maulik Parikh and Frank Wilczek
http://arxiv.org/hep-th/9907001 [Broken]
"Hawking Radiation as Tunneling"
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