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arXiv · gr-qc/9810051

Conformal ``thin sandwich'' data for the initial-value problem of general relativity

James W. York, Jr
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Abstract

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 {\it 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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James W. York, Jr. 1998-12-23. Conformal ``thin sandwich'' data for the initial-value problem of general relativity. https://doi.org/10.1103/physrevlett.82.1350

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