Conformal ``thin sandwich'' data for the initial-value problem of general relativity
General Relativity and Quantum Cosmology
2012-08-27 v2
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
Cite
@article{arxiv.gr-qc/9810051,
title = {Conformal ``thin sandwich'' data for the initial-value problem of general relativity},
author = {James W. York,},
journal= {arXiv preprint arXiv:gr-qc/9810051},
year = {2012}
}
Comments
7 pages, RevTeX