Generalizing a method presented in an earlier paper, we express the complex potentials E and Phi of all stationary axisymmetric electrovac spacetimes that correspond to axis data of the form E(z,0) = (U-W)/(U+W) , Phi(z,0) = V/(U+W) , where U = z^{ 2} + U_{ 1} z + U_{ 2} , V = V_{ 1} z + V_{ 2} , W = W_{ 1} z + W_{ 2} , in terms of the complex parameters U_{ 1}, V_{ 1}, W_{ 1}, U_{ 2}, V_{ 2} and W_{ 2}, that are directly associated with the various multipole moments. (Revised to clarify certain subtle points.)
Categories: gr-qc