2002/09/13 by U. Guenther, U. Günther, P. Moniz +1
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Material Science and Thermodynamics #gr-qc
paper · pdf · doi:10.1023/a:1022532313230
published as Astrophys.Space Sci. 283 (2003) 679-684 · 6 pages, kluwer.sty; Conf. Proc., 11th EAS Meeting: "JENAM 2002: The Unsolved Universe", Porto, Portugal
arxiv created 2002/09/13 · openalex publication_date 2003/03/01 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.