In order to apply the Arnowitt-Deser-Misner canonical formulation of general relativity to the study of systems involving material sources, a particular set of coordinate conditions and a stipulated initial absence of gravitational radiation are applied to the reduction on the initial hypersurface of the constraint equations, determining equations for the lapse and shift functions, and evolution
... [Show full abstract] equations to forms that are sufficiently tractable for practical computations.