Higher Dimensional Cosmology: Relations among the radii of two homogeneous spaces

Abstract

We study a cosmological model in 1+D+d dimensions where D dimensions are associated with the usual Friedman-Robertson-Walker type metric with radio a(t) and d dimensions corresponds to an additional homogeneous space with radio b(t). We make a general analysis of the field equations and then we obtain solutions involving the two cosmological radii, a(t) and b(t). The particular case D=3, d=1 is studied in some detail.

arXiv comment13 pages, 3 figures. Two references added, minor typos corrected. To be published in Modern Physics Letters A

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• Classical evolution of subspaces
• Interpenetrating subspaces as a funnel to extra space
• Higher dimensional black holes as constrained systems
• Anisotropic evolution of D-dimensional FRW spacetime