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

被引：225

作者：

York, JW ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Phys, Raleigh, NC 27695 USA

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.82.1350

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. [S0031-9007(94)08400-8].

引用

页码：1350 / 1353

页数：4

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