Some properties of asymptotically flat, static, Einstein-Maxwell space-times

We show that the generators of the Weyl tensor for asymptotically flat, static, Einstein−Maxwell space−times are electric type to asymptotic order r−7 and that for space−times which are stable under static perturbations the generators of the electromagnetic field tensor are electric type to order r−5. We also argue that the Weyl tensor, the Ricci tensor, and the electromagnetic field tensor may fail to be electric type in general for asymptotically flat, static, Einstein−Maxwell space−times but that the generators of the Weyl tensor and the electromagnetic field tensor may still be electric type in general. The variable r is an affine parameter along null geodesics.