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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Horizon Distortion Maps II<br />
Adjust the placement of grid points near each black hole using a<br />
horizon distortion map that connects grid coordinates x i to points<br />
in the black-hole rest frame ˜x i :<br />
˜θ A = θ A , ˜ϕ A = ϕ A ,<br />
˜r A = r A − f A (r A , θ A , ϕ A )<br />
L∑<br />
l∑<br />
l=0 m=−l<br />
λ lm<br />
A (t)Y lm (θ A , ϕ A ).<br />
Lee Lindblom (Caltech) <strong>Binary</strong> <strong>Black</strong> <strong>Hole</strong>s UW Milwaukee 10/14/2011 23 / 32
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