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Solving Einstein's Equations for Binary Black Hole Spacetimes

Solving Einstein's Equations for Binary Black Hole Spacetimes

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Summary<br />

The NR community has made great progress on a number of<br />

fundamental problems:<br />

Hyperbolic representations of GR: GH and BSSN and ...<br />

Constraint violating instabilities controlled.<br />

Plus several others (that there wasn’t time to talk about), e.g. good<br />

gauge conditions, outer boundary conditions, ...<br />

Great progress on numerical and code development issues:<br />

Higher order FD and spectral numerical methods.<br />

Methods of controlling boundaries inside black holes: Excision plus<br />

dual-frame dynamical horizon-tracking coordinates using<br />

feedback-control.<br />

Plus several others, e.g. Moving Puncture method, Adaptive Mesh<br />

Refinement (AMR), ...<br />

Interesting physical results:<br />

Long acccurate wave<strong>for</strong>ms <strong>for</strong> GW data analysis.<br />

Large astrophysically interesting post-merger kicks.<br />

Lee Lindblom (Caltech) <strong>Binary</strong> <strong>Black</strong> <strong>Hole</strong>s UW Milwaukee 10/14/2011 32 / 32

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