Built on

I. Bredberg, C. Keeler, V. Lysov, and A. Strominger, “Wilsonian Approach to Fluid/Gravity Duality,” JHEP
Original
1902
Earlier work this paper cites.
T. Damour, “Black Hole Eddy Currents,” Phys.Rev
1978
Earlier work this paper cites.
R. Price and K. Thorne, “Membrane viewpoint on black holes: properties and evolution of the stretched horizon,” Phys.Rev
1986
Earlier work this paper cites.
G. T. Horowitz and A. Strominger, “Black strings and P-branes,” Nucl.Phys
1991
Earlier work this paper cites.
M. Bremer, M. Duff, H. Lu, C. Pope, and K. Stelle, “Instanton cosmology and domain walls from M theory and string theory,” Nucl.Phys
1999
Earlier work this paper cites.
J. T. Liu and H. Sati, “Breathing mode compactifications and supersymmetry of the brane world,” Nucl.Phys
2001
Earlier work this paper cites.
P. Kovtun, D. Son, and A. Starinets, “Viscosity in strongly interacting quantum field theories from black hole physics,” Phys.Rev.Lett
2005
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla, and M. Rangamani, “Nonlinear Fluid Dynamics from Gravity,” JHEP
Original
2008
Earlier work this paper cites.
A. Buchel, “Bulk viscosity of gauge theory plasma at strong coupling,” Phys.Lett
Original
2008
Earlier work this paper cites.
R. Emparan, T. Harmark, V. Niarchos, N. A. Obers and , “World-Volume Effective Theory for Higher-Dimensional Black Holes,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
C. Eling, I. Fouxon, and Y. Oz, “The Incompressible Navier-Stokes Equations From Membrane Dynamics,” Phys.Lett
Original
2009
Earlier work this paper cites.
J. Erdmenger, M. Haack, M. Kaminski, and A. Yarom, “Fluid dynamics of R-charged black holes,” JHEP
Original
2009
Earlier work this paper cites.

Similar

R. Emparan, T. Harmark, V. Niarchos, and N. A. Obers, “Essentials of Blackfold Dynamics,” JHEP
Original
2010
Cited alongside, same era.
J. Camps, R. Emparan, and N. Haddad, “Black Brane Viscosity and the Gregory-Laflamme Instability,” JHEP
Original
2010
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C. Eling and Y. Oz, “Relativistic CFT Hydrodynamics from the Membrane Paradigm,” JHEP
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2010
Cited alongside, same era.
G. Compere, P. McFadden, K. Skenderis, and M. Taylor, “The Holographic fluid dual to vacuum Einstein gravity,” JHEP
Original
2011
Cited alongside, same era.
R.-G. Cai, L. Li, and Y.-L. Zhang, “Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface,” JHEP

Then

J. Camps and R. Emparan, “Derivation of the blackfold effective theory,” JHEP
Original
2012
Later among the works it cites.
I. Bredberg, C. Keeler, V. Lysov, and A. Strominger, “From Navier-Stokes To Einstein,” JHEP
Original
2012
Later among the works it cites.
G. Compere, P. McFadden, K. Skenderis, and M. Taylor, “The relativistic fluid dual to vacuum Einstein gravity,” JHEP
Original
2012
Later among the works it cites.
C. Eling, A. Meyer, and Y. Oz, “The Relativistic Rindler Hydrodynamics,” JHEP
Original
2012
Later among the works it cites.
D. Marolf and M. Rangamani, “Causality and the AdS Dirichlet problem,” JHEP
Original

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2013

Effective hydrodynamics of black D3-branes

Emparan, Roberto, Hubeny, Veronika E, Rangamani, Mukund

Understand

The long-wavelength effective field theory of world-volume fluctuations of black D3-branes is shown to be a hydrodynamical system to leading order in a gradient expansion.

We study the system on a fiducial `cutoff' surface: the fluctuating geometry imprints its dynamics on the surface via an induced stress tensor whose conservation encapsulates the hydrodynamical description.
For a generic non-extremal D3-brane, as we move our cutoff surface from the asymptotically flat near-boundary region to the near-horizon region, this hydrodynamical system interpolates between a non-conformal relativistic fluid and a non-relativistic incompressible fluid.
We also consider the dependence on the deviation from extremality of the D3-branes.

Built on

I. Bredberg, C. Keeler, V. Lysov, and A. Strominger, “Wilsonian Approach to Fluid/Gravity Duality,” JHEP
Original
1902
Earlier work this paper cites.
T. Damour, “Black Hole Eddy Currents,” Phys.Rev
1978
Earlier work this paper cites.
R. Price and K. Thorne, “Membrane viewpoint on black holes: properties and evolution of the stretched horizon,” Phys.Rev
1986
Earlier work this paper cites.
G. T. Horowitz and A. Strominger, “Black strings and P-branes,” Nucl.Phys
1991
Earlier work this paper cites.
M. Bremer, M. Duff, H. Lu, C. Pope, and K. Stelle, “Instanton cosmology and domain walls from M theory and string theory,” Nucl.Phys
1999
Earlier work this paper cites.
J. T. Liu and H. Sati, “Breathing mode compactifications and supersymmetry of the brane world,” Nucl.Phys
2001
Earlier work this paper cites.
P. Kovtun, D. Son, and A. Starinets, “Viscosity in strongly interacting quantum field theories from black hole physics,” Phys.Rev.Lett
2005
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla, and M. Rangamani, “Nonlinear Fluid Dynamics from Gravity,” JHEP
Original
2008
Earlier work this paper cites.
A. Buchel, “Bulk viscosity of gauge theory plasma at strong coupling,” Phys.Lett
Original
2008
Earlier work this paper cites.
R. Emparan, T. Harmark, V. Niarchos, N. A. Obers and , “World-Volume Effective Theory for Higher-Dimensional Black Holes,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
C. Eling, I. Fouxon, and Y. Oz, “The Incompressible Navier-Stokes Equations From Membrane Dynamics,” Phys.Lett
Original
2009
Earlier work this paper cites.
J. Erdmenger, M. Haack, M. Kaminski, and A. Yarom, “Fluid dynamics of R-charged black holes,” JHEP
Original
2009
Earlier work this paper cites.