Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-03-03
Phys.Rev. D70 (2004) 044032
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, 1 figure, revtex4
Scientific paper
10.1103/PhysRevD.70.044032
We present two families of first-order in time and second-order in space formulations of the Einstein equations (variants of the Arnowitt-Deser-Misner formulation) that admit a complete set of characteristic variables and a conserved energy that can be expressed in terms of the characteristic variables. The associated constraint system is also symmetric hyperbolic in this sense, and all characteristic speeds are physical. We propose a family of constraint-preserving boundary conditions that is applicable if the boundary is smooth with tangential shift. We conjecture that the resulting initial-boundary value problem is well-posed.
Gundlach Carsten
Martin-Garcia Jose M.
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