Remarks on dimensional reduction of multidimensional cosmological models

Details Remarks on dimensional reduction of multidimensional cosmological models Remarks on dimensional reduction of multidimensional cosmological models

2004-01-02

arxiv.org/abs/gr-qc/0401003v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, Latex2e, Conf. Proc., Tenth Marcel Grossmann Meeting on General Relativity, July 20-26, 2003, Rio de Janeiro, Brazil,

Scientific paper

Multidimensional cosmological models with factorizable geometry and their dimensional reduction to effective four-dimensional theories are analyzed on sensitivity to different scalings. It is shown that a non-correct gauging of the effective four-dimensional gravitational constant within the dimensional reduction results in a non-correct rescaling of the cosmological constant and the gravexciton/radion masses. The relationship between the effective gravitational constants of theories with different dimensions is discussed for setups where the lower dimensional theory results via dimensional reduction from the higher dimensional one and where the compactified space components vary dynamically.

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