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

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Angular momentum and area evolution laws Angular momentum flux law Under the supplementary hypothesis that ϕ is transported along the evolution vector h : Lh ϕ = 0, the generalized Damour-Navier-Stokes equation leads to d J(ϕ) = − T (m, ϕ) dt S ɛ − 1 σ 16π (m) : Lϕ q − 2θ (k) ϕ · DC Sɛ St St [EG, PRD 72, 104007 (2005)] Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 33 / 38
Angular momentum and area evolution laws Angular momentum flux law Under the supplementary hypothesis that ϕ is transported along the evolution vector h : Lh ϕ = 0, the generalized Damour-Navier-Stokes equation leads to d J(ϕ) = − T (m, ϕ) dt S ɛ − 1 σ 16π (m) : Lϕ q − 2θ (k) ϕ · DC Sɛ St Two interesting limiting cases: St [EG, PRD 72, 104007 (2005)] Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 33 / 38
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Black holes: from event horizons to
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Outline Concept of black hole and e
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Concept of black hole and event hor
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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
Page 57 and 58: Viscous fluid form Viscous fluid an
Page 59: Angular momentum and area evolution
Page 63 and 64: 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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Black holes: from event horizons to trapping horizons - LUTH ...

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