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

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

1998-10-15

arxiv.org/abs/gr-qc/9810051v2

Phys.Rev.Lett. 82 (1999) 1350-1353

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, RevTeX

Scientific paper

10.1103/PhysRevLett.82.1350

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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