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.Comment: 13 pages, 3 figures. Two references added, minor typos corrected. To be published in Modern Physics Letters