- #1

Lilian Sa

- 18

- 2

- Homework Statement:
- gravity and mertices

- Relevant Equations:
- coordinate transformation

I posted a thread yesterday and I think that I did not formulated it properly.

So I have a metric ##{ds}^{2}=-{dt}^{2}+{dx}^{2}+2{a}^2(t)dxdy+{dz}^{2}##

I was asked to find the the coordinate transformation so that I can get a diagonalized metric.

so what I've done is I assumed a coordinate transformation ## x=\tilde{x}+F(t,y) ## replaced it in the metric and equated to zero for the proper elements.

but what does that says that F have to be dependent on the other coordinates?

I've got complicated with it.

thanks for any help :)

So I have a metric ##{ds}^{2}=-{dt}^{2}+{dx}^{2}+2{a}^2(t)dxdy+{dz}^{2}##

I was asked to find the the coordinate transformation so that I can get a diagonalized metric.

so what I've done is I assumed a coordinate transformation ## x=\tilde{x}+F(t,y) ## replaced it in the metric and equated to zero for the proper elements.

but what does that says that F have to be dependent on the other coordinates?

I've got complicated with it.

thanks for any help :)