Skye
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Hi, I'm new to Physics Forum and wasn't really sure where to post this since its not strictly speaking a homwork question. So if it happens to be in the wrong place I apologise.
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
ds2 = dt2 - a(t)2[(dr2/(1-Kr2))+r2d[tex]\Omega[/tex]]
to
ds2 = dt2 - a(t)2[d[tex]\chi[/tex]2 + Sk[tex]\chi[/tex]2d[tex]\Omega[/tex]]
using r = Sk[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 :)
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
ds2 = dt2 - a(t)2[(dr2/(1-Kr2))+r2d[tex]\Omega[/tex]]
to
ds2 = dt2 - a(t)2[d[tex]\chi[/tex]2 + Sk[tex]\chi[/tex]2d[tex]\Omega[/tex]]
using r = Sk[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 :)