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

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arxiv gr-qc/9810051 v2 pith:3VCOJSJV submitted 1998-10-15 gr-qc

James W. York , Jr This is my paper · ORCID
classification gr-qc
keywords conformalforminitial-valueproblemsandwichthincoupledcurvature
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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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Cited by 5 Pith papers

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