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

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Local approaches to black holes What is a trapped surface ? 1/ Expansion of a surface along a normal vector field 1 Consider a spacelike 2-surface S (induced metric: q) 2 Take a vector field v defined on S and normal to S at each point 3 ε being a small parameter, displace the point p by the vector εv to the point p ′ Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 10 / 38
Local approaches to black holes What is a trapped surface ? 1/ Expansion of a surface along a normal vector field 1 Consider a spacelike 2-surface S (induced metric: q) 2 Take a vector field v defined on S and normal to S at each point 3 ε being a small parameter, displace the point p by the vector εv to the point p ′ 4 Do the same for each point in S, keeping the value of ε fixed Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 10 / 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: Local approaches to black holes Wha
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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
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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
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Outline Applications to numerical r
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Review articles References A. Ashte
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Black holes: from event horizons to trapping horizons - LUTH ...

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