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

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Local approaches to black holes Foliation of a hypersurface by spacelike 2-surfaces hypersurface H = submanifold of spacetime ⎧(M , g) of codimension 1 ⎨ spacelike H can be null ⎩ timelike H = t∈R St St = spacelike 2-surface ⇐= 3+1 perspective Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 17 / 38
Local approaches to black holes Foliation of a hypersurface by spacelike 2-surfaces hypersurface H = submanifold of spacetime ⎧(M , g) of codimension 1 ⎨ spacelike H can be null ⎩ timelike H = t∈R St St = spacelike 2-surface intrinsic viewpoint adopted here (i.e. not relying on extra-structure such as a 3+1 foliation) q : induced metric on St (positive definite) D : connection associated with q Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 17 / 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 and 30: Local approaches to black holes Con
Page 35 and 36: Local approaches to black holes Exa
Page 37: 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

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

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