2002/07/31 by Harald P. Pfeiffer, James W. York · 2 citations
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.67.044022
published as Phys.Rev. D67 (2003) 044022 · 8 pages, no figures; added new section; significant polishing of text
arxiv created 2002/11/06 · arxiv updated 2009/11/30
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.