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The periodic standing wave approach to binary inspiral assumes rigid rotationof gravitational fields and hence helically symmetric solutions. To exploit thesymmetry, numerical computations must solve for ``helical scalars,'' fieldsthat are functions only of corotating coordinates, the labels on the helicalKilling trajectories. Here we present the formalism for describing linearizedgeneral relativity in terms of helical scalars and we present solutions to themixed partial differential equations of the linearized gravity problem (and toa toy nonlinear problem) using the adapted coordinates and numerical techniquespreviously developed for scalar periodic standing wave computations. We arguethat the formalism developed may suffice for periodic standing wavecomputations for post-Minkowskian computations and for full general relativity.Comment: 21 pages, 10 figures, RevTe

Periodic standing-wave approximation: Eigenspectral computations for linear gravity and nonlinear toy models