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Relativistic Stars and the Schwarzschild Solution

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Astrophysical Consequ of ISCO<br />

• The surface of a neutron star is around <strong>the</strong><br />

ISCO, probably inside for M > 1.3 M S .<br />

• Accretion disks can only exist downto <strong>the</strong> ISCO,<br />

since motion in <strong>the</strong> disk is essentially Keplerian<br />

(circular orbits).<br />

• Binding energy of ISCO determines <strong>the</strong><br />

accretion efficiency η = 1 – E ISCO = 6% (Schw.)<br />

• Angular momentum L = (12) 1/2 GM/c at ISCO is<br />

accreted onto <strong>the</strong> neutron star or Black Hole<br />

� Spinning up of NSs <strong>and</strong> BHs by accretion!

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