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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Radiative moments - Source moments<br />
The relations connect<strong>in</strong>g the different radiative moments UL and<br />
VL to the correspond<strong>in</strong>g source moments IL and JL are given<br />
below. For the mass type moments we have (Blanchet 92.. 98)<br />
Uij(U) = I (2) 2GM<br />
ij (U) +<br />
+ G<br />
c 5<br />
<br />
− 2<br />
7<br />
+ 1<br />
c 3<br />
+∞<br />
0<br />
+∞<br />
0<br />
dτ<br />
<br />
cτ<br />
ln<br />
2r0<br />
+ 11<br />
2<br />
dτI (3)<br />
aa (U − τ)<br />
7 I(5) aa − 5<br />
7 I(4) aa<br />
<br />
+4 W (2) Iij − W (1) I (1)<br />
<br />
ij<br />
<br />
GM<br />
+2<br />
c3 2 +∞<br />
dτI<br />
0<br />
(5)<br />
ij (U − τ)<br />
<br />
ln 2<br />
<br />
cτ<br />
+<br />
2r0<br />
57<br />
70 ln<br />
<br />
cτ<br />
+<br />
2r0<br />
124627<br />
44100<br />
+O(7),<br />
<br />
− 2<br />
7 I(3)<br />
aa<br />
<br />
I (4)<br />
ij (U − τ)<br />
1 (4)<br />
+ εaba<br />
3 Jb<br />
BRI-IHP06-I – p.23/??
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