Extrinsic curvature and the Einstein constraints
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- 28 February 2003
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 67 (4)
- https://doi.org/10.1103/physrevd.67.044022
Abstract
The Einstein initial-value equations in the extrinsic curvature (Hamiltonian) representation and conformal thin sandwich (Lagrangian) representation are brought into complete conformity by the use of a decomposition of symmetric tensors which involves a weight function. In stationary spacetimes, there is a natural choice of the weight function such that the transverse traceless part of the extrinsic curvature (or canonical momentum) vanishes.Comment: 8 pages, no figures; added new section; significant polishing of texKeywords
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