Multidimensional cosmology and asymptotical AdS

Details Multidimensional cosmology and asymptotical AdS Multidimensional cosmology and asymptotical AdS

2002-09-13

arxiv.org/abs/gr-qc/0209045v1

Astrophys.Space Sci. 283 (2003) 679-684

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1023/A:1022532313230

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.

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