Hey I'm stuck on the last portion of a question
Right I've done it up to the point of showing thatFor a plane gravity wave of the form
Show that the linearised gravitational field equations require that
Where
and
Hence show that for the case that is an eigenvector of the Riemann tensor in the sense that
So I've reduced it to showing that which I can't really seem to get out, any hints would be much appreciated
Thanks!