Metric Properties of a Simple ds^2 Equation

[pleasehelpmeno]

Am i correct in thinking that in a simple $ds^2 =dt^2 - a^{2}d\underline{x}^{2}$ metric that:
$g_{\mu\nu}=diag(1,-a^2,-a^2,-a^2)$ and $g^{\mu\nu}=diag(1,-\frac{1}{a^2},-\frac{1}{a^2},-\frac{1}{a^2})$

thx

 

[Fredrik]

Yes.