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Speaker |
Ledvinka, Tomas |
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Talk Title |
Boundary conditions for BSSN system |
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Abstract |
In numerical relativity, hyperbolic systems of the second-order in space, first-order in time (SOIS-FOIT) partial differential equations (PDEs) are of great importance. Namely, impressive results were obtained by several groups using so-called BSSN system belonging to this category. While the analysis of the first order in space systems had provided a method of construction of boundary conditions compatible with PDEs, no such recipe is available for SOIS-FOIT systems unless it is symmetric hyperbolic. We show, that introducing potentials for evolution variables of linearized BSSN system, one can find an associated symmetric-hyperbolic systems of PDEs which provides boundary conditions for the original SOIS-FOIT BSSN system. |
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