Multidimensional cosmology and asymptotical AdS

Abstract

A non-linear gravitational model with a multidimensional geometry and quadratic scalar curvature is considered. For certain parameter ranges, the extra dimensions are stabilized if the internal spaces have negative curvature. As a consequence, the 4-dimensional effective cosmological constant as well as the bulk cosmological constant become negative. The homogeneous and isotropic external space is asymptotically AdS. The connection between the D-dimensional and the 4-dimensional fundamental mass scales sets an additional restriction on the parameters of the considered non-linear models.

6 pages, kluwer.sty; Conf. Proc., 11th EAS Meeting: "JENAM 2002: The Unsolved Universe", Porto, Portugal

References in corpus (2)

• The Hierarchy Problem and New Dimensions at a Millimeter
• Cosmic Concordance and Quintessence

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