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  Well-Posed Initial-Boundary Evolution in General Relativity

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

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Szilagyi, Bela1, Author           
Winicour, Jeffrey2, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 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.

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Language(s): eng - English
 Dates: 2003
 Publication Status: Issued
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 Identifiers: eDoc: 3134
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 68 Sequence Number: 041501 Start / End Page: - Identifier: -