Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
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Far Zone Angular Momentum Flux<br />
From the expressions for ULs and VLs, one can schematically split<br />
the total contribution to the angular momentum flux as the sum of<br />
the <strong>in</strong>stantaneous and hereditary terms.<br />
Start<strong>in</strong>g <strong>from</strong> the expression for the angular momentum flux <strong>in</strong> terms<br />
of the radiative multipole moments and the expressions for the<br />
radiative moments <strong>in</strong> terms of the source multipoles the AMF can be<br />
re-written as<br />
dJi<br />
dt<br />
<br />
<strong>in</strong>st(s)<br />
dJi<br />
dt<br />
<br />
=<br />
= G<br />
<br />
2<br />
εipq<br />
c5 + 1<br />
c 2<br />
+ 1<br />
c 6<br />
1<br />
dJi<br />
dt<br />
5 I(2)<br />
pj I(3)<br />
qj<br />
63 I(3)<br />
pjk I(4)<br />
qjk<br />
<br />
<br />
<strong>in</strong>st<br />
+ 32<br />
45<br />
+<br />
J (2)<br />
pj<br />
1<br />
118800 I(5)<br />
pjklm I(6)<br />
qjklm<br />
dJi<br />
dt<br />
<br />
hered<br />
<br />
(3)<br />
J qj + 1<br />
c4 .<br />
1<br />
2268 I(4)<br />
pjkl I(5)<br />
qjkl<br />
16 (4) (5)<br />
+ J pjklJ qjkl<br />
14175<br />
<br />
,<br />
1 (3)<br />
+ J pjk 28<br />
BRI-IHP06-I – p.71/??
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