Well-Posed Initial-Boundary Evolution in General Relativity

Details Well-Posed Initial-Boundary Evolution in General Relativity Well-Posed Initial-Boundary Evolution in General Relativity

2002-05-10

arxiv.org/abs/gr-qc/0205044v7

Phys.Rev.D68:041501,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 6 figures; added another convergence plot to Fig. 2 + minor changes

Scientific paper

10.1103/PhysRevD.68.041501

Maximally dissipative boundary conditions are applied to the initial-boundary value problem for Einstein's equations in harmonic coordinates to show that it is well-posed for homogeneous boundary data and for boundary data that is small in a linearized sense. The method is implemented as a nonlinear evolution code which satisfies convergence tests in the nonlinear regime and is robustly stable in the weak field regime. A linearized version has been stably matched to a characteristic code to compute the gravitational waveform radiated to infinity.

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