Cosmological Constant, Quintessence and Mini-Universes

Physics

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In this talk, I report my recent work with Tzihong Chiueh (astro-ph/0107453) on bound object formation in a background universe accelerated by cosmological constant and by quintessence. If the acceleration lasts forever, due to the existence of event horizon, one would have naively expected the universe to approach a state of cold death. However, we find that many local regions in the universe can in fact be protected by their own gravity to form mini-universes, if their present matter densities exceed certain critical value. Within these mini-universes, there can be no event horizon although all of them will eventually fall onto each other's horizon and become isolated island universes. In the case with cosmological constant the condition of forming mini-universe is that the ratio of present density parameters Ω i0 /Ω Λ ought to be larger than a critical value 3.63. In the case with quintessence, the condition is that the final ratio Ωi/Ωq of a mini-universe must be larger than wq2 - wq , where wq is the equation of state parameter.

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