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.
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Günther, U., Moniz, P. & Zhuk, A. Multidimensional Cosmology and Asymptotical AdS. Astrophysics and Space Science 283, 679–684 (2003). https://doi.org/10.1023/A:1022532313230
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DOI: https://doi.org/10.1023/A:1022532313230