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Hello,
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.
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.