Solving the initial value problem of two black holes.

作者: Pedro Marronetti , Richard A. Matzner

DOI: 10.1103/PHYSREVLETT.85.5500

关键词: SlicingClassical mechanicsSingularityMomentumRegular gridMathematical analysisPhysicsElliptic solverMetric (mathematics)Initial value problemSpacetime

摘要: (February 7, 2008)We solve the elliptic equations associated with Hamil-tonian and momentum constraints, corresponding to a systemcomposed of two black holes arbitrary linear angu-lar momentum. These new solutions are based on Kerr-Schild spacetime slicing which provides more physically re-alistic than initial data conformallyflat metric/maximal methods. The singularity/innerboundary problems circumvented by technique thatallows use an solver Cartesian grid whereno points excised, simplifying enormously numericalproblem.PACS number(s): 04.70.Bw,04.25.DmI. INTRODUCTION AND METHOD

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