Black holes: from event horizons to trapping horizons - LUTH ...
Black holes: from event horizons to trapping horizons - LUTH ...
Black holes: from event horizons to trapping horizons - LUTH ...
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Concept of black hole and <strong>event</strong> horizon<br />
What is a black hole ?<br />
... for the mathematical physicist:<br />
B := M − J − (I + )<br />
i.e. the region of spacetime where light<br />
rays cannot escape <strong>to</strong> infinity<br />
(M , g) = asymp<strong>to</strong>tically flat<br />
manifold<br />
I + = future null infinity<br />
J − (I + ) = causal past of I +<br />
<strong>event</strong> horizon: H := ∂J − (I + )<br />
(boundary of J − (I + ))<br />
H smooth =⇒ H null hypersurface<br />
Eric Gourgoulhon (<strong>LUTH</strong>) <strong>Black</strong> <strong>holes</strong>: <strong>trapping</strong> <strong>horizons</strong> CERN, 17 March 2010 5 / 38
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