Roberto Emparan

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Membrane paradigm • Fluid dyn obtains (exactly!) because of huge redshift near horizon: – acceleration-length a -1 → 0 – local temperature for fidos → ∞ • Near-horizon is Rindler: universal, erases differences among distinct black holes (eg black holes vs black branes): good/bad • Not good for studying bh instabilities
BHs as fluid droplets/lumps • Analogy: ≃ • Fluid drop with surface boundary tends to extremize (minimize) surface area • Surface is elastic • Fluid drops evaporate when microphysics included, evaporation rate greater for smaller drops
Page 1 and 2: Black Holes, Fluids, and their Inst
Page 3 and 4: “Black Holes are like Fluids” W
Page 9 and 10: Gregory-Laflamme instability λ=2π
Page 11 and 12: General Relativity as Fluid dyn •
Page 13: Membrane paradigm • Fluid stress-
Page 17 and 18: BHs as fluid droplets/lumps • Ray
Page 19 and 20: BHs as fluid droplets/lumps • Hig
Page 21 and 22: BHs as fluid drops/lumps • Large
Page 23 and 24: Fluid/gravity correspondence(s) •
Page 25 and 26: General Classical Brane Dynamics
Page 27 and 28: Blackfold effective theory ∇ µ T
Page 29 and 30: Gregory-Laflamme as sound-mode inst
Page 31 and 32: Viscous damping of sound • Viscos
Page 33 and 34: Gregory-Laflamme as sound-mode inst
Page 35 and 36: Gregory-Laflamme from fluid dynamic
Page 41 and 42: Conclusions • Several meanings to

Roberto Emparan

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