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

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Local approaches to black holes Local definitions of “black holes” A hypersurface H of (M , g) is said to be a future outer trapping horizon (FOTH) iff (i) H foliated by marginally trapped 2-surfaces (θ (k) < 0 and θ (ℓ) = 0) (ii) Lk θ (ℓ) < 0 (locally outermost trapped surf.) [Hayward, PRD 49, 6467 (1994)] Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 14 / 38
Local approaches to black holes Local definitions of “black holes” A hypersurface H of (M , g) is said to be a future outer trapping horizon (FOTH) iff (i) H foliated by marginally trapped 2-surfaces (θ (k) < 0 and θ (ℓ) = 0) (ii) Lk θ (ℓ) < 0 (locally outermost trapped surf.) [Hayward, PRD 49, 6467 (1994)] a dynamical horizon (DH) iff (i) H foliated by marginally trapped 2-surfaces (ii) H spacelike [Ashtekar & Krishnan, PRL 89 261101 (2002)] Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 14 / 38
Page 1 and 2: Black holes: from event horizons to
Page 3 and 4: Outline Concept of black hole and e
Page 5 and 6: 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: Local approaches to black holes Con
Page 33 and 34: Local approaches to black holes Loc
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
Page 57 and 58: Viscous fluid form Viscous fluid an
Page 59 and 60: Angular momentum and area evolution
Page 69 and 70: Outline Applications to numerical r
Page 71: Review articles References A. Ashte

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