Well-Posed Initial-Boundary Evolution in General Relativity

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Abstract
A recent mathematical technique for nonlinear hyperbolic systems, maximally dissipative boundary conditions, is applied to establish a simple, well-posed version of the general relativistic initial-boundary value problem in harmonic coordinates. The method is implemented as a nonlinear evolution algorithm which, in the weak field regime, is robustly stable. A linearized version has been stably matched to a characteristic code to compute the gravitational waveform radiated to infinity.

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