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Outer boundary conditions for Einstein's field equations in harmonic coordinates.
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Outer boundary conditions for Einstein's field equations in harmonic coordinates.
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| dc.contributor.author | Ruiz Meneses, Milton Javier | |
| dc.contributor.author | Rinne, Olvier | |
| dc.contributor.author | Sarbach, Olivier | |
| dc.date.accessioned | 2023-06-01T08:54:38Z | |
| dc.date.available | 2023-06-01T08:54:38Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | Ruiz Meneses, Milton Javier Rinne, Olvier Sarbach, Olivier 2007 Outer boundary conditions for Einstein's field equations in harmonic coordinates. Classical and Quantum Gravity 24 6349 6377 | |
| dc.identifier.uri | https://hdl.handle.net/10550/87617 | |
| dc.description.abstract | We analyze Einstein's vacuum field equations in generalized harmonic coordinates on a compact spatial domain with boundaries. We specify a class of boundary conditions, which is constraint-preserving and sufficiently general to include recent proposals for reducing the amount of spurious reflections of gravitational radiation. In particular, our class comprises the boundary conditions recently proposed by Kreiss and Winicour, a geometric modification thereof, the freezing-Ψ0 boundary condition and the hierarchy of absorbing boundary conditions introduced by Buchman and Sarbach. Using the recent technique developed by Kreiss and Winicour based on an appropriate reduction to a pseudo-differential first-order system, we prove well posedness of the resulting initial-boundary value problem in the frozen coefficient approximation. In view of the theory of pseudo-differential operators, it is expected that the full nonlinear problem is also well posed. Furthermore, we implement some of our boundary conditions numerically and study their effectiveness in a test problem consisting of a perturbed Schwarzschild black hole. | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Classical and Quantum Gravity, 2007, vol. 24, p. 6349-6377 | |
| dc.subject | Astronomia | |
| dc.subject | Astrofísica | |
| dc.title | Outer boundary conditions for Einstein's field equations in harmonic coordinates. | |
| dc.type | journal article | |
| dc.date.updated | 2023-06-01T08:54:38Z | |
| dc.identifier.doi | 10.1088/0264-9381/24/24/012 | |
| dc.identifier.idgrec | 160063 | |
| dc.rights.accessRights | open access |
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