We uniquely and explicitly reconstruct the instantaneous intrinsic metric of
the Kerr-Newman Event Horizon from the spectrum of its Laplacian. In the
process we find that the angular momentum parameter, radius, area; and in the
uncharged case, mass, can be written in terms of these eigenvalues. In the
uncharged case this immediately leads to the unique and explicit determination
of the Kerr metric in terms of the spectrum of the event horizon. Robinson's
``no hair" theorem now yields the corollary: One can ``hear the shape" of
noncharged stationary axially symmetric black hole space-times by listening to
the vibrational frequencies of its event horizon only.