Conformal “ thin sandwich ” data for the initial-value problem of general relativity

@inproceedings{York1998ConformalT,
  title={Conformal “ thin sandwich ” data for the initial-value problem of general relativity},
  author={James W. York},
  year={1998}
}
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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