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I have a question, please let me have your answer, if possible:

In a space with an extra spatial dimension , where the extra coordinate is compact:

[itex]0 \le y \le 2\pi \alpha [/itex]

And the metric of the space is:

[tex]{G_M}_N = \left( {\begin{array}{*{20}{c}}

{{g_\mu }_\nu (x)} & {{A_\mu }(x)} \\

{{A_\mu }(x)} & {\varphi (x)} \\

\end{array}} \right)[/tex]

In the action:

[tex]S = \frac{1}{{8\pi G_N^{(5)}}}\int {{d^5}x\;\sqrt { - G} \;R} [/tex]

Which are the dimensions of

[itex]G_N^{(5)}[/itex]

, that is five-dimensional Newton’s constant?

Many thanks in advance.

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# Dimensions of five-dimensional Newton's constant

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