The Black Hole-Neutron Star Binary Merger in Full General Relativity by Koutarou Kyutoku

Author:Koutarou Kyutoku
Language: eng
Format: epub
Publisher: Springer Japan, Tokyo

4.3.2 Boundary Conditions and Data in the Buffer Zone

For domain, we put two boundary points in both positive and negative directions. Values of metric quantities at these boundary points are determined by the outgoing-wave boundary condition at all the time steps including the intermediate steps of the Runge-Kutta time evolution. The outgoing boundary condition is written by

(4.67)

where denotes the distance from the coordinate origin and in the unit of , for a variable which obeys the wave equation. The value of is determined by an spatial interpolation. The asymptotic flatness condition,

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