Multidimensional Cosmology and Asymptotical AdS |
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Authors: | U. Günther P. Moniz A. Zhuk |
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Affiliation: | 1. Inst. Math., Universit?t Potsdam, D-14415, Potsdam, Germany 2. Dept. Phys., UBI, 6200, Covilh?, Portugal 3. Dept. Phys, University of Odessa, Odessa, 65100, Ukraine
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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 constant 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 AdS4. 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. This revised version was published online in July 2006 with corrections to the Cover Date. |
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