- #1

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I was looking through some lecture notes from when I did my Physics degree years ago and come across a problem involving the FRW metric.

Basically i'm trying to get from

ds

^{2}= dt

^{2}- a(t)

^{2}[(dr

^{2}/(1-Kr

^{2}))+r

^{2}d[tex]\Omega[/tex]]

to

ds

^{2}= dt

^{2}- a(t)

^{2}[d[tex]\chi[/tex]

^{2}+ S

_{k}[tex]\chi[/tex]

^{2}d[tex]\Omega[/tex]]

using r = S

_{k}[tex]\chi[/tex] = (1/[tex]\sqrt{}K[/tex]sin([tex]\sqrt{}K[/tex][tex]\chi[/tex])

After I competed my degree I took a bit of a break from Physics so I'm quite rusty at this stuff. Would appreciate any help i can get :)