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

Abstract

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.

arXiv comment23 pages, Latex

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• Theories with Two Times
• TASI Lectures on Matrix Theory
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Cited by in corpus (3)

• Higher Dimensional Cosmology: Relations among the radii of two homogeneous spaces
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Multidimensional arrow of time