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Journal Article

Well-Posed Initial-Boundary Evolution in General Relativity

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Szilagyi,  Bela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winicour,  Jeffrey
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Szilagyi, B., & Winicour, J. (2003). Well-Posed Initial-Boundary Evolution in General Relativity. Physical Review D, 68: 041501.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5293-3
Abstract
The technique of maximally dissipative boundary conditions is applied to establish a simple, well-posed version of the general relativistic initial-boundary value problem for the reduced Einstein equations in harmonic coordinates. The method is implemented as a nonlinear evolution code which satisfies several 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.