Duality Symmetry in Kaluza-Klein $n+D+d$ Dimensional Cosmological Model

Details Duality Symmetry in Kaluza-Klein $n+D+d$ Dimensional Cosmological Model Duality Symmetry in Kaluza-Klein $n+D+d$ Dimensional Cosmological Model

2004-01-21

arxiv.org/abs/hep-th/0401145v2

Int.J.Mod.Phys. A19 (2004) 2131-2148

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, Latex

Scientific paper

10.1142/S0217751X04018233

It is shown that, with the only exception of $n=2$, the Einstein-Hilbert action in $n+D+d$ dimensions, with $n$ times, is invariant under the duality transformation $a\to \frac{1}{a}$ and $b\to \frac{1}{b}$, where $a$ is a Friedmann-Robertson-Walker scale factor in $D$ dimensions and $b$ a Brans-Dicke scalar field in $d$ dimensions respectively. We investigate the $2+D+d$ dimensional cosmological model in some detail.

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