Extrinsic curvature and the Einstein constraints
By Harald P. Pfeiffer, J. York. 2002
154 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/33bb25bc813ae37b47cd43de364236e7f8f1bb58
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In Astronomy and Astrophysics
- Mark A. Scheel
- Lawrence E. Kidder
- Harald P. Pfeiffer
- Duncan A. Brown
- L. Lindblom
- G. Lovelace
- T. Damour
- J. Centrella
In Nuclear and High Energy Physics
- Mark A. Scheel
- Lawrence E. Kidder
- Duncan A. Brown
- L. Lindblom
- Harald P. Pfeiffer
- G. Lovelace
- T. Damour
- J. Centrella
Citations in the corpus
- Reducing orbital eccentricity in binary black hole simulations (2007, methodology): “We use the extended conformal thin sandwich formalism [28, 29] to construct constraint-satisfying initial data.”