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

Preprint

23 December 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9810051

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.

Keywords

COUPLED WITH THE TRANSFORMATION
INITIAL VALUE PROBLEM
GENERAL RELATIVITY
HYPERSURFACES
THIN SANDWICH
MULTIPLIER
CONFORMAL
METRIC
LAPSE

All Related Versions

Version 1, 1998-10-15, ArXiv
Version 2, 1998-12-23, ArXiv
Published version: Physical Review Letters, 82 (7), 1350.

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