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Black holes: from event horizons to trapping horizons - LUTH ...

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Local approaches <strong>to</strong> black <strong>holes</strong><br />

What is a trapped surface ?<br />

1/ Expansion of a surface along a normal vec<strong>to</strong>r field<br />

1 Consider a spacelike 2-surface S<br />

(induced metric: q)<br />

2 Take a vec<strong>to</strong>r field v defined on<br />

S and normal <strong>to</strong> S at each<br />

point<br />

Eric Gourgoulhon (<strong>LUTH</strong>) <strong>Black</strong> <strong>holes</strong>: <strong>trapping</strong> <strong>horizons</strong> CERN, 17 March 2010 10 / 38

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