2000/06/15 by W. F. Kao, Kao, W. F.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0006110
9 pages, new references added, some typos and errors corrected
arxiv created 2000/06/26 · arxiv updated 2009/11/30
Kaluza-Klein approach in an N(=1+3+D)-dimensional Friedmann-Robertson-Walker type space is often adopted in the literature. We derive a compact expression for the Friedmann equation in a (1+3+D)-dimensional space. The redundancy of the associated field equations due to the Bianchi identity is analyzed. We also study the dilaton gravity theory with higher-derivative gravitational couplings. It turns out that higher-order terms will not affect the Friedmann equation in a constant flat internal space. This is true only for the flat-De Sitter external space. The inflationary solution in an induced-gravity model is also discussed as an application.