Multidimensional cosmology and asymptotical AdS
Multidimensional cosmology and asymptotical AdS
Günther, U.; Moniz, P.; Zhuk, A.
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.
Keywords: string theory; moduli stabilization; scalar-tensor theory; higher dimensional gravity; dimensional reduction
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Astrophysics and Space Science 283(2003), 679-684
DOI: 10.1023/A:1022532313230
ISSN: 0004-640x
Cited 17 times in Scopus
Permalink: https://www.hzdr.de/publications/Publ-11045