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Magnetized Accretion onto Inspiraling Binary Black Holes - LUTH

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BBH Metric Analytic Approximation: Near Zone<br />

Near Zone (NZ)<br />

Flat + non-linear perturbation<br />

gµν = ηµν + hµν ,<br />

post-Newtonian approach<br />

(slow motion, weak field)<br />

ηhµν ∝ Tµν(y i A) + τµν(h 2 ) ,<br />

Harmonic coordinates<br />

Parametrization:<br />

htt = 2m1<br />

2 m1 + O ,<br />

r1<br />

m1<br />

v<br />

r1<br />

2 , v 4<br />

<br />

,<br />

r 2 1<br />

BZ(NZ-FZ)<br />

IZ2<br />

y<br />

NZ<br />

BZ(IZ2-NZ)<br />

r12<br />

IZ1<br />

BZ(IZ1-NZ)<br />

Bruno C. Mundim <strong>Magnetized</strong> <strong>Accretion</strong> <strong>onto</strong> <strong>Inspiraling</strong> BBH 2013-05-23<br />

FZ<br />

x

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