Extrinsic curvature and the Einstein constraints

Jul, 2002
8 pages
Published in:
  • Phys.Rev.D 67 (2003) 044022
e-Print:

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Abstract: (arXiv)
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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