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An Introduction to Supernovae - LUTH

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Einstein quadrupole formula<br />

(valid for slow motion v«c and weak fields « c 2 )<br />

h jk= 2G<br />

c 4<br />

R s =1 km , v/c=0.1 , R=10kpc ---> h ~ 10 -20<br />

GW luminosity<br />

L GW= d E GW<br />

dt<br />

1<br />

R ¨Q jk ~ R s<br />

R v<br />

c 2<br />

= 1<br />

5<br />

G<br />

c 5 〈 Q jk 2<br />

〉 ~ R S<br />

R 2<br />

v<br />

c 6<br />

¨Q~MR 2 /T 2 ~Mv 2

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