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Transition from big crunch to big bang in brane cosmology | | Claus Gerhardt
; | | Date: |
13 Apr 2004 | | Journal: | Adv.Theor.Math.Phys. 8 (2004) 319-343 | | Subject: | General Relativity and Quantum Cosmology; Differential Geometry | gr-qc hep-th math.DG | | Abstract: | We consider branes $N=I imesso$, where $so$ is an $n$
dash dimensional space form, not necessarily compact, in a Schwarzschild-AdS_{(n+2)} bulk $mc N$. 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 brane $hat N$, which has a big bang singularity and which can be viewed as a brane in a reflected Schwarzschild-AdS_{(n+2)} bulk $hat{mc N}$. The joint branes $Nuu hat N$ can thus be naturally embedded in $R^2 imes so$, hence there exists a second possibility of defining a smooth transition from big crunch to big bang by requiring that $Nuuhat N$ forms a $C^infty$-hypersurface in $R^2 imes so$. 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. | | Source: | arXiv, gr-qc/0404061 | | Services: | Forum | Review | PDF | Favorites | |
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