Rosen coordinates for a plane gravitational wave
= Rosen coordinates for a plane gravitational wave
{c}
Rosen coordinates put a plane wave into the transverse-metric form
$$
ds^2=-du\,dv+g_{AB}(u)dx^A dx^B.
$$
For diagonal $g_{AB}=\operatorname{diag}(f^2,g^2)$, the only potentially nonzero <Ricci tensor> component is $R_{uu}=-f''/f-g''/g$.