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The low-energy dynamics of any system admitting a continuum of staticconfigurations is approximated by slow motion in moduli (configuration) space.Here, following Ferrell and Eardley, this moduli space approximation isutilized to study collisions of two maximally charged Reissner--Nordstr{\"o}mblack holes of arbitrary masses, and to compute analytically the gravitationalradiation generated by their scattering or coalescence. The motion remains sloweven though the fields are strong, and the leading radiation is quadrupolar. Asimple expression for the gravitational waveform is derived and compared atearly and late times to expectations.

Exact Gravitational Wave Signatures from Colliding Extreme Black Holes