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

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Viscous fluid analogy Negative bulk viscosity of event horizons From the Damour-Navier-Stokes equation, ζ = − 1 < 0 16π This negative value would yield to a dilation or contraction instability in an ordinary fluid It is in agreement with the tendency of a null hypersurface to continually contract or expand The event horizon is stabilized by the teleological condition imposing its expansion to vanish in the far future (equilibrium state reached) Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 25 / 38
Viscous fluid analogy Generalization to the non-null case Starting remark: in the null case (event horizon), ℓ plays two different roles: evolution vector along H (e.g. term S Lℓ ) normal to H (e.g. term q ∗ T · ℓ) When H is no longer null, these two roles have to be taken by two different vectors: evolution vector: obviously h vector normal to H: a natural choice is m := ℓ + Ck Eric Gourgoulhon (LUTH) Black holes: trapping horizons CERN, 17 March 2010 26 / 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
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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: Viscous fluid analogy Original Damo
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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