Exact solutions of embedding the 4D Universe in a 5D Einstein manifold

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dc.creatorMeng, Xin-He
dc.creatorRen, Jie
dc.creatorZhang, Hong-Guang
dc.date2007-01-10
dc.date2008-03-17
dc.date.accessioned2026-07-07T11:20:57Z
dc.date.available2026-07-07T11:20:57Z
dc.descriptionOne of the simplest way to extend 4D cosmological models is to add another spatial dimension to make them 5D. In particular, it has been shown that the simplest of such 5D models, i.e., one in which the right hand side of the Einstein equation is empty, induces a 4D nonempty Universe. Accordingly, the origin of matter in the 4D real Universe might be mathematically attributed to the existence of one (fictitious) extra spatial dimension. Here we consider the case of an empty 5D Universe possessing a cosmological constant $Λ$ and obtain exact solutions for both positive and negative values of $Λ$. It is seen that such a model can naturally reduce to a power law $Λ$CDM model for the real Universe. Further, it can be seen that, the arbitrary constants and functions appearing in this model are endowed with definite physical meanings.
dc.description3 pages, no figure. v3: title changed and typos corrected; v4: accepted by IJMPD
dc.identifierhttps://arxiv.org/abs/astro-ph/0701298
dc.identifierhttp://arxiv.org/abs/astro-ph/0701298
dc.identifierInt.J.Mod.Phys.D17:257-263,2008
dc.identifierdoi:10.1142/S0218271808011985
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194123
dc.subjectAstrophysics
dc.titleExact solutions of embedding the 4D Universe in a 5D Einstein manifold
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