1997/01/15 by A. Zhuk
Physics and Astronomy · #gr-qc
published as Grav.Cosmol. 3 (1997) 24-28 · 10 pages, latex, submitted to Gravitation and Cosmology
arxiv created 1997/01/15 · arxiv updated 2009/11/30
Multidimensional cosmological model with the topology M=RxM1xM2x...xMn where Mi (i=1,... ,n) undergo a chain splitting into arbitrary number of compact spaces is considered. It is shown that equations of motion can be solved exactly because they depend only on the effective curvatures and dimensions and "forget" about inner topological structure. It is proved that effective cosmological action for the model with n=1 in the case of infinite splitting of the internal space coincides with the tree-level effective action for a bosonic string.