Hello,(adsbygoogle = window.adsbygoogle || []).push({});

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 Newtonâ€™s constant?

Many thanks in advance.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Dimensions of five-dimensional Newton's constant

**Physics Forums | Science Articles, Homework Help, Discussion**