On Weyl cosmology in five dimensions and the cosmological constant

Details On Weyl cosmology in five dimensions and the cosmological constant On Weyl cosmology in five dimensions and the cosmological constant

2009-06-08

arxiv.org/abs/0906.1613v1

Int.J.Mod.Phys.A24:1505-1509,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Published on the Proceedings of the Seventh Alexander Friedmann International Seminar on Gravitation and Cosmology and Satelli

Scientific paper

10.1142/S0217751X09044899

In this talk notes we expose the possibility to induce the cosmological constant from extra dimensions, in a geometrical framework where our four-dimensional Riemannian space-time is embedded into a five-dimensional Weyl integrable space. In particular following the approach of the induced matter theory, we show that when go down from five to four dimensions, we may recover in the context of the general theory of relativity, the induced energy momentum tensor of the induced matter theory plus a cosmological constant term, that is determined by the presence of the Weyl scalar field on the bulk.

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