Work

Conformal “Thin-Sandwich” Data for the Initial-Value Problem of General Relativity

Year: 1999

Type: article

Abstract: 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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.82.1350

Author: James W. York

Institution: North Carolina State University

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, North Carolina State University, University of North Carolina at Chapel Hill, Advanced Research Projects Agency, Division of Mathematical Sciences

OpenAlex ID: W2103565138

FWCI: 3.024

Cites: 20

Cited by: 334

Related to: 9