Phys. Rev. Lett. 82, 1350–1353 (1999)Conformal “Thin-Sandwich” Data for the Initial-Value Problem of General RelativityReceived 15 October 1998; published in the issue dated 15 February 1999 The initial-value problem is posed by giving a conformal three-metric on each of two nearby spacelike hypersurfaces, the proper-time separation of the hypersurfaces up to a multiplier to be determined, and the mean (extrinsic) curvature of one slice. The resulting equations have the same elliptic form as in 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.1350
DOI:
10.1103/PhysRevLett.82.1350
PACS:
04.20.Ex, 04.20.Cv, 04.20.Fy
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