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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Local approaches <strong>to</strong> black <strong>holes</strong><br />
Local definitions of “black <strong>holes</strong>”<br />
A hypersurface H of (M , g) is said <strong>to</strong> be<br />
a future outer <strong>trapping</strong> horizon (FOTH) iff<br />
(i) H foliated by marginally trapped 2-surfaces<br />
(θ (k) < 0 and θ (ℓ) = 0)<br />
(ii) Lk θ (ℓ) < 0 (locally outermost trapped surf.)<br />
[Hayward, PRD 49, 6467 (1994)]<br />
Eric Gourgoulhon (<strong>LUTH</strong>) <strong>Black</strong> <strong>holes</strong>: <strong>trapping</strong> <strong>horizons</strong> CERN, 17 March 2010 14 / 38
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