Asymptotical AdS from non-linear gravitational models with stabilized extra dimensions

Details Asymptotical AdS from non-linear gravitational models with stabilized extra dimensions Asymptotical AdS from non-linear gravitational models with stabilized extra dimensions

2002-05-15

arxiv.org/abs/hep-th/0205148v2

Phys.Rev. D66 (2002) 044014; Erratum-ibid. D66 (2002) 089901

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX2e, minor changes, improved references, to appear in PRD

Scientific paper

10.1103/PhysRevD.66.044014

We consider non-linear gravitational models with a multidimensional warped product geometry. Particular attention is payed to models with quadratic scalar curvature terms. It is shown that for certain parameter ranges, the extra dimensions are stabilized if the internal spaces have negative constant curvature. In this case, the 4-dimensional effective cosmological constant as well as the bulk cosmological constant become negative. As a consequence, the homogeneous and isotropic external space is asymptotically AdS. The connection between the D-dimensional and the 4-dimensional fundamental mass scales sets a restriction on the parameters of the considered non-linear models.

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