Conventional cosmology from multidimensional models

Abstract

We investigate a possibility for construction of the conventional Friedmann cosmology for our observable Universe if underlying theory is multidimensional Kaluza-Klein model endowed with a perfect fluid. We show that effective Friedmann model obtained by dynamical compactification of the multidimensional one is faced with too strong variations of the fundamental "constants". From other hand, models with stable compactification of the internal space are free from this problem and also result in conventional 4D cosmological behavior for our Universe. We prove a no-go theorem which shows that stable compactification of the internal spaces is possible only if equations of state in the external and internal spaces are properly adjusted to each other. With a proper choice of parameters (fine tuning), effective cosmological constant in this model provides the late time acceleration of the Universe. The fine tuning problem is resolved in the case of the internal spaces in the form of orbifolds with branes in fixed points. However, in this case the effective potential is too flat (mass gravexcitons is very small) to provide necessary constancy of the effective fundamental "constants".

16 pages, LaTeX, 14th International Seminar on High Energy Physics "QUARKS-2006" in St. Petersburg, references and footnotes added

References in corpus (3)

• Remarks on dimensional reduction of multidimensional cosmological models
• Stability of Homogeneous Extra Dimensions
• Constraining Universal Extra Dimensions through B decays

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• 1/R multidimensional gravity with form-fields: stabilization of extra dimensions, cosmic acceleration and domain walls
• Problematic aspects of Kaluza-Klein excitations in multidimensional models with Einstein internal spaces
• Significance of tension for gravitating masses in Kaluza-Klein models
• Exact and asymptotic black branes with spherical compactification
• Reconstruction of Cosmological Evolution in the Presence of Extra Dimensions
• An S-brane solution with acceleration and small enough variation of G
• 7D Randall-Sundrum cosmology, brane-bulk energy exchange and holography
• Observational constraints on Kaluza-Klein models with $d$-dimensional spherical compactification