Boundary conditions for the Einstein-Christoffel formulation of Einstein's equations

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dc.creatorArnold, Douglas N.
dc.creatorTarfulea, Nicolae
dc.date2006-11-02
dc.date.accessioned2026-07-07T07:31:53Z
dc.date.available2026-07-07T07:31:53Z
dc.descriptionSpecifying boundary conditions continues to be a challenge in numerical relativity in order to obtain a long time convergent numerical simulation of Einstein's equations in domains with artificial boundaries. In this paper, we address this problem for the Einstein--Christoffel (EC) symmetric hyperbolic formulation of Einstein's equations linearized around flat spacetime. First, we prescribe simple boundary conditions that make the problem well posed and preserve the constraints. Next, we indicate boundary conditions for a system that extends the linearized EC system by including the momentum constraints and whose solution solves Einstein's equations in a bounded domain.
dc.identifierhttps://arxiv.org/abs/gr-qc/0611010
dc.identifierhttp://arxiv.org/abs/gr-qc/0611010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118917
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleBoundary conditions for the Einstein-Christoffel formulation of Einstein's equations
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