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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 />

Dynamics of these new <strong>horizons</strong><br />

The <strong>trapping</strong> <strong>horizons</strong> and dynamical <strong>horizons</strong> have their own dynamics, ruled by<br />

Einstein equations.<br />

In particular, one can establish for them<br />

existence and (partial) uniqueness theorems<br />

[Andersson, Mars & Simon, PRL 95, 111102 (2005)],<br />

[Ashtekar & Galloway, Adv. Theor. Math. Phys. 9, 1 (2005)]<br />

first and second laws of black hole mechanics<br />

[Ashtekar & Krishnan, PRD 68, 104030 (2003)], [Hayward, PRD 70, 104027 (2004)]<br />

a viscous fluid bubble analogy (“membrane paradigm”, as for the <strong>event</strong><br />

horizon)<br />

[EG, PRD 72, 104007 (2005)], [EG & Jaramillo, PRD 74, 087502 (2006)]<br />

Eric Gourgoulhon (<strong>LUTH</strong>) <strong>Black</strong> <strong>holes</strong>: <strong>trapping</strong> <strong>horizons</strong> CERN, 17 March 2010 16 / 38

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