Extrinsic Curvature and the Einstein Constraints

Details Extrinsic Curvature and the Einstein Constraints Extrinsic Curvature and the Einstein Constraints

2002-07-24

arxiv.org/abs/gr-qc/0207095v2

Phys.Rev. D67 (2003) 044022

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures; added new section; significant polishing of text

Scientific paper

10.1103/PhysRevD.67.044022

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.

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