Solving Einstein's Equations for Binary Black Hole Spacetimes
Solving Einstein's Equations for Binary Black Hole Spacetimes
Solving Einstein's Equations for Binary Black Hole Spacetimes
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Moving <strong>Black</strong> <strong>Hole</strong>s in a Spectral Code<br />
Spectral: Excision boundary is a smooth analytic surface.<br />
Cannot add/remove individual grid points when hole move.<br />
Straight<strong>for</strong>ward method: re-grid when holes move too far.<br />
Problems:<br />
Re-gridding/interpolation is expensive.<br />
Difficult to get smooth extrapolation at trailing edge of horizon.<br />
Causality trouble at leading edge of horizon.<br />
t<br />
Horizon<br />
Outside<br />
Horizon<br />
x<br />
Lee Lindblom (Caltech) <strong>Binary</strong> <strong>Black</strong> <strong>Hole</strong>s UW Milwaukee 10/14/2011 20 / 32
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