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GR: Fachverband Gravitation und Relativitätstheorie

GR 9: Numerische Relativitätstheorie I

GR 9.4: Talk

Wednesday, February 27, 2013, 14:45–15:00, HS 6

1+log Trumpet Initial Data in Numerical Relativity — •Tim Dietrich and Bernd Brügmann — Friedrich-Schiller-Universität, Jena, Germany

A key ingredient for reliable numerical simulations is the accurate construction of initial data. One typical method is the puncture approach. When constructing puncture initial data by solving the Hamiltonian constraint, the coordinate singularity requires special attention.

The standard way to treat the pole singularity occurring in wormhole puncture data is not applicable to trumpet puncture data. Therefore, we investigate a new approach based on inverse powers of the conformal factor and present numerical examples for single punctures of the wormhole and 1+log trumpet type. Specifically, we describe a method to solve the Hamiltonian constraint for two 1+log trumpets for given extrinsic curvature with non-vanishing trace and investigate properties of our constructed initial data during binary black hole evolutions.