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Transition from Big Crunch to Big Bang
| Content Provider | Semantic Scholar |
|---|---|
| Author | Gerhardt, Claus |
| Copyright Year | 2004 |
| Abstract | We consider branes N = I × S 0 , where S 0 is an n–dimen-sional space form, not necessarily compact, in a Schwarzschild-AdS (n+2) bulk N. The branes have a big crunch singularity. If a brane is an ARW space, then, under certain conditions, there exists a smooth natural transition flow through the singularity to a reflected branê N , which has a big bang singularity and which can be viewed as a brane in a reflected Schwarzschild-AdS (n+2) bulkˆN. The joint branes N ∪ ˆ N can thus be naturally embedded in R 2 × S 0 , hence there exists a second possibility of defining a smooth transition from big crunch to big bang by requiring that N ∪ ˆ N forms a C ∞-hypersurface in R 2 × S 0. This last notion of a smooth transition also applies to branes that are not ARW spaces, allowing a wide range of possible equations of state. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/gr-qc/0404061v5.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
