New Data for the Initial-value Problem of General Relativity * Typeset Using Revt E X
نویسنده
چکیده
The initial-value problem is posed by giving a conformal three-metric on each of two nearby spacelike hypersurfaces, their proper-time separation up to a multiplier to be determined, and the mean (extrinsic) curvature of one slice. The resulting equations have the same elliptic form as does the one-hypersurface formulation. The metrical roots of this form are revealed by a conformal " thin sandwich " viewpoint coupled with the transformation properties of the lapse function.
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