Transition from big crunch to big bang in brane cosmology

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dc.creatorGerhardt, Claus
dc.date2004-04-13
dc.date2004-05-23
dc.date.accessioned2026-07-07T03:28:36Z
dc.date.available2026-07-07T03:28:36Z
dc.descriptionWe consider branes $N=I\times\so$, where $\so$ is an $n$\ndash 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 $N\uu \hat N$ can thus be naturally embedded in $R^2\times \so$, hence there exists a second possibility of defining a smooth transition from big crunch to big bang by requiring that $N\uu\hat N$ forms a $C^\infty$-hypersurface in $R^2\times \so$. 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.
dc.description20 pages, a pdf version can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/brane.pdf and bibtex data from http://www.math.uni-heidelberg.de/studinfo/gerhardt/bibtexcgbrane.html, v5: the results of http://arXiv.org/abs/gr-qc/0404112 have been applied to ARW branes, the introduction has been rewritten, this is the final version that will appear in Adv. Theor. Math. Physics
dc.identifierhttps://arxiv.org/abs/gr-qc/0404061
dc.identifierhttp://arxiv.org/abs/gr-qc/0404061
dc.identifierAdv.Theor.Math.Phys. 8 (2004) 319-343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34892
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleTransition from big crunch to big bang in brane cosmology
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