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2012

The Incompressible Rindler fluid versus the Schwarzschild-AdS fluid

Matsuo, Yoshinori, Natsuume, Makoto, Ohta, Masahiro et al.

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We study the proposal by Bredberg et al.

(1006.1902), where the fluid is defined by the Brown-York tensor on a timelike surface at r=r_c in black hole backgrounds.
We consider both Rindler space and the Schwarzschild-AdS (SAdS) black hole.
The former describes an incompressible fluid, whereas the latter describes the vanishing bulk viscosity at arbitrary r_c, but these two results do not contradict with each other.

The Incompressible Rindler fluid versus the Schwarzschild-AdS fluid · Around

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I. Bredberg, C. Keeler, V. Lysov and A. Strominger, “Wilsonian Approach to Fluid/Gravity Duality,” JHEP 1103
Original
1902
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R. H. Price and K. S. Thorne, “Membrane Viewpoint On Black Holes: Properties And Evolution Of The Stretched Horizon,” Phys. Rev. D 33
1986
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J. D. Brown and J. W. York, “Quasilocal energy and conserved charges derived from the gravitational action,” Phys. Rev. D 47
1993
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
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E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
1998
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S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
1998
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V. Balasubramanian and P. Kraus, “A Stress tensor for Anti-de Sitter gravity,” Commun. Math. Phys. 208
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D. T. Son and A. O. Starinets, “Viscosity, Black Holes, and Quantum Field Theory,” Ann. Rev. Nucl. Part. Sci. 57
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S. S. Gubser, S. S. Pufu and F. D. Rocha, “Bulk viscosity of strongly coupled plasmas with holographic duals,” JHEP 0808
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2008
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Then

M. Natsuume and T. Okamura, “Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality,” Phys. Rev. D 77
Original
2008
Later among the works it cites.
C. Eling and Y. Oz, “Relativistic CFT Hydrodynamics from the Membrane Paradigm,” JHEP 1002
Original
2010
Later among the works it cites.
G. Compere, P. McFadden, K. Skenderis and M. Taylor, “The Holographic fluid dual to vacuum Einstein gravity,” JHEP 1107
Original
2011
Later among the works it cites.
D. K. Brattan, J. Camps, R. Loganayagam and M. Rangamani, “CFT dual of the AdS Dirichlet problem : Fluid/Gravity on cut-off surfaces,” JHEP 1112
Original
2011
Later among the works it cites.
J. W. York, Jr., “Black hole thermodynamics and the Euclidean Einstein action,” Phys. Rev. D33

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