The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Conformal “Thin-Sandwich” Data for the Initial-Value Problem of General Relativity
Open accessAbstract
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.
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Citations
Cites
Role of Conformal Three-Geometry in the Dynamics of Gravitation
York, J. W. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.1082 · Cited by 1,392
Self-citationNew Hamiltonian formulation of general relativity
Ashtekar, A. (1987) · Physical Review D · doi:10.1103/physrevd.36.1587 · Cited by 1,119
Relativity, groups and topology
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McCarthy, P. J. (1980) · Physics Bulletin · doi:10.1088/0031-9112/31/5/025 · Cited by 745
(1983) · Black Holes, White Dwarfs, and Neutron Stars · doi:10.1002/9783527617661.ch16 · Cited by 459
York, J. W. (1973) · Journal of Mathematical Physics · doi:10.1063/1.1666338 · Cited by 436
Self-citationQuantum mechanics of the gravitational field
Teitelboim, C. (1982) · Physical Review D · doi:10.1103/physrevd.25.3159 · Cited by 325
General Relativity and Gravitation
Ehlers, J. (2004) · The Encyclopedia of Astronomy and Astrophysics · doi:10.1888/0333750888/2108 · Cited by 260
Three-Dimensional Geometry as Carrier of Information about Time
Baierlein, R. F., Sharp, D. H., & Wheeler, J. A. (1962) · Physical Review · doi:10.1103/physrev.126.1864 · Cited by 226
Proper-time gauge in the quantum theory of gravitation
Teitelboim, C. (1983) · Physical Review D · doi:10.1103/physrevd.28.297 · Cited by 176
Metadata
- Authors
- York, J. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-02-15
- Volume
- 82
- Issue
- 7
- Pages
- 1350-1353
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2103565138
- Cited by
- 323
- References
- 17
- FWCI
- 3.86
- Type
- journal article
- Language
- en
- Open access
- green
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