Stable compactification and gravitational excitons from extra dimensions

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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42 pages, Latex. Extended version of a lecture given at the conference "Modern Modified Theories of Gravitation and Cosmology"

Scientific paper

We study inhomogeneous multidimensional cosmological models with a higher dimensional space-time manifold under dimensional reduction. Stability due to different types of effective potentials is analyzed for specific configurations of internal spaces. Necessary restrictions on the parameters of the models are found and masses of gravitational excitons (small inhomogeneous excitations of the scale factors of the internal spaces near minima of effective potentials) are calculated.

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