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

J. A. Nieto·M. P. Ryan·O. Velarde·C. M. Yee
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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.

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J. A. Nieto, M. P. Ryan, O. Velarde, C. M. Yee. 2004-02-05. Duality Symmetry in Kaluza-Klein $n+D+d$ Dimensional Cosmological Model. https://doi.org/10.1142/s0217751x04018233

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