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Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH

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FZ flux - Radiative Multipoles<br />

Follow<strong>in</strong>g Thorne (1980), the expression for the 3PN<br />

accurate far zone energy flux <strong>in</strong> terms of symmetric<br />

trace-free (STF) radiative multipole moments read as<br />

dE<br />

dt<br />

<br />

far−zone<br />

= G<br />

c5 <br />

1<br />

5<br />

(1) (1)<br />

U ij U ij<br />

+ 1<br />

c2 <br />

1<br />

189<br />

+ 1<br />

c4 <br />

1<br />

9072<br />

+ 1<br />

c6 <br />

1<br />

594000<br />

<br />

+O(8) .<br />

(1) (1)<br />

U ijk U ijk<br />

+ 16<br />

45<br />

(1) (1)<br />

U ijkmU ijkm<br />

V (1)<br />

ij<br />

+ 1<br />

84<br />

(1) (1)<br />

U ijkmnU ijkmn<br />

<br />

(1)<br />

V ij<br />

V (1)<br />

ijk<br />

<br />

(1)<br />

V ijk<br />

4 (1) (1)<br />

+ V ijkmV ijkm<br />

14175<br />

<br />

BRI-IHP06-I – p.21/??

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