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

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Concept of black hole and event horizon What is a black hole ? ... for the mathematical physicist: B := M − J − (I + ) i.e. the region of spacetime where light rays cannot escape to infinity (M , g) = asymptotically flat manifold I + = future null infinity J − (I + ) = causal past of I + event horizon: H := ∂J − (I + ) (boundary of J − (I + )) H smooth =⇒ H null hypersurface Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 5 / 38
Concept of black hole and event horizon What is a black hole ? ... for the mathematical physicist: B := M − J − (I + ) i.e. the region of spacetime where light rays cannot escape to infinity (M , g) = asymptotically flat manifold I + = future null infinity J − (I + ) = causal past of I + event horizon: H := ∂J − (I + ) (boundary of J − (I + )) H smooth =⇒ H null hypersurface Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 5 / 38
Page 1 and 2: Black holes: from event horizons to
Page 3 and 4: Outline Concept of black hole and e
Page 5: Concept of black hole and event hor
Page 9 and 10: Concept of black hole and event hor
Page 15 and 16: Local approaches to black holes Loc
Page 17 and 18: Local approaches to black holes Wha
Page 27 and 28: Local approaches to black holes Lin
Page 29 and 30: Local approaches to black holes Con
Page 35 and 36: Local approaches to black holes Exa
Page 37 and 38: Local approaches to black holes Fol
Page 39 and 40: Local approaches to black holes Fol
Page 41 and 42: Local approaches to black holes Evo
Page 43 and 44: Outline Viscous fluid analogy 1 Con
Page 45 and 46: Viscous fluid analogy Concept of bl
Page 47 and 48: Viscous fluid analogy Original Damo
Page 49 and 50: Viscous fluid analogy Original Damo
Page 51 and 52: Viscous fluid analogy Generalizatio
Page 53 and 54: Viscous fluid analogy Null limit (e
Page 55 and 56: Viscous fluid analogy Case of futur
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Viscous fluid form Viscous fluid an
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Angular momentum and area evolution
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Outline Applications to numerical r
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Review articles References A. Ashte
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