Hi I wanted to ask about the following metric:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]ds^2=e^{-2 kr_c \: \phi} \: \eta_{\mu \nu} dx^\mu dx^\nu + r_c^2 d\phi^2

[/tex]

It is a proposed solution to the hierachy problem i.e the weakness of gravity.

when [tex] \phi =0 [/tex] the exponential factor goes to 1 and that corresponds to our physical brane, and when it goes to [tex] \phi = \pi [/tex] then we have the exponential supression of the spacetime separation and that corresponds to the metric of the hidden brane.

I would like to understand why this has the effect of making gravity weaker.

I have read the paper but don't really understand the physical reasoning.

The paper says 'the weakness of gravity arises because of the small overlap of the graviton wavefunction in the 5th dimension with our brane.'

I don't really get this and would love to hear from someone who understands this.

Looking forward to hearing from someone!

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# Randall Sundrum Model

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