Extrinsic Curvature and the Einstein Constraints
General Relativity and Quantum Cosmology
2009-11-07 v2
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.
Cite
@article{arxiv.gr-qc/0207095,
title = {Extrinsic Curvature and the Einstein Constraints},
author = {Harald P. Pfeiffer and James W. York},
journal= {arXiv preprint arXiv:gr-qc/0207095},
year = {2009}
}
Comments
8 pages, no figures; added new section; significant polishing of text