I have solved Eqs. (16) to (23) by hand to find a standing wave solution for the Q vector. The spin connection in this case is the simple omega bold = kappa and omega sub zero = omega, so the spin connection is the four wave vector. The general solution can be found by computer and this does not look to be a difficult problem. This is well worth doing because the method gives the spin connection four vector and the kappa vector in a perfectly general way.