Built on

I. Bredberg, C. Keeler, V. Lysov and A. Strominger, “Wilsonian Approach to Fluid/Gravity Duality,” JHEP 1103
Original
1902
Earlier work this paper cites.
D. G. Boulware and S. Deser, “String Generated Gravity Models,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
R. C. Myers, “higher derivative gravity, surface terms and string theory,” phys. Rev. D 36
1987
Earlier work this paper cites.
T. Jacobson and R. C. Myers, “Black hole entropy and higher curvature interactions,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
M. Parikh and F. Wilczek, “An Action for black hole membranes,” Phys. Rev. D 58
1998
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Charged AdS black holes and catastrophic holography,” Phys. Rev. D 60
1999
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Holography, thermodynamics and fluctuations of charged AdS black holes,” Phys. Rev. D 60
1999
Earlier work this paper cites.
P. Kraus, F. Larsen and R. Siebelink, “The gravitational action in asymptotically AdS and flat space-times,” Nucl. Phys. B 563
1999
Earlier work this paper cites.
J. M. Maldacena, “The Large N N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N N field theories, string theory and gravity,” Phys. Rept. 323
Original
2000
Earlier work this paper cites.
R. G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Phys. Rev. D 65
2002
Earlier work this paper cites.
M. Cvetic, S. ’i. Nojiri and S. D. Odintsov, “Black hole thermodynamics and negative entropy in de Sitter and anti-de Sitter Einstein-Gauss-Bonnet gravity,” Nucl. Phys. B 628
2002
Earlier work this paper cites.
M. Bianchi, D. Z. Freedman and K. Skenderis, “Holographic renormalization,” Nucl. Phys. B 631
2002
Earlier work this paper cites.
K. Skenderis, “Lecture notes on holographic renormalization,” Class. Quant. Grav. 19
2002
Earlier work this paper cites.
S. C. Davis, “Generalized Israel junction conditions for a Gauss-Bonnet brane world,” Phys. Rev. D 67
2003
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla and M. Rangamani, “Nonlinear Fluid Dynamics from Gravity,” JHEP 0802
Original
2008
Earlier work this paper cites.
D. Astefanesei, N. Banerjee and S. Dutta, “(Un)attractor black holes in higher derivative AdS gravity,” JHEP 0811
Original
2008
Earlier work this paper cites.
Y. Brihaye and E. Radu, “Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method,” JHEP 0809
Original
2008
Earlier work this paper cites.
I. Fouxon and Y. Oz, “Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations,” Phys. Rev. Lett. 101
Original
2008
Earlier work this paper cites.

Similar

M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “Viscosity Bound Violation in Higher Derivative Gravity,” Phys. Rev. D 77
Original
2008
Cited alongside, same era.
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “The Viscosity Bound and Causality Violation,” Phys. Rev. Lett. 100
Original
2008
Cited alongside, same era.
X. H. Ge, Y. Matsuo, F. W. Shu, S. J. Sin and T. Tsukioka, “Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge,” JHEP 0810
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R. G. Cai, Z. Y. Nie and Y. W. Sun, “Shear Viscosity from Effective Couplings of Gravitons,” Phys. Rev. D 78
Original
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Cited alongside, same era.
V. Jejjala, D. Minic, Y. J. Ng and C. H. Tze, “Turbulence and Holography,” Class. Quant. Grav. 25

Then

V. Jejjala, D. Minic, Y. J. Ng and C. H. Tze, “Quantum Gravity and Turbulence,” Int. J. Mod. Phys. D 19
Original
2010
Later among the works it cites.
J. Evslin and C. Krishnan, “Vortices in (2+1)d Conformal Fluids,” JHEP 1010
Original
2010
Later among the works it cites.
I. Heemskerk and J. Polchinski, “Holographic and Wilsonian Renormalization Groups,” JHEP 1106
Original
2011
Later among the works it cites.
T. Faulkner, H. Liu and M. Rangamani, “Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm,” JHEP 1108
Original
2011
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

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2012

Holographic Forced Fluid Dynamics in Non-relativistic Limit

Cai, Rong-Gen, Li, Li, Nie, Zhang-Yu et al.

Understand

We study the thermodynamics and non-relativistic hydrodynamics of the holographic fluid on a finite cutoff surface in the Gauss-Bonnet gravity.

It is shown that the isentropic flow of the fluid is equivalent to a radial component of gravitational field equations.
We use the non-relativistic fluid expansion method to study the Einstein-Maxwell-dilaton system with a negative cosmological constant, and obtain the holographic incompressible forced Navier-Stokes equations of the dual fluid at AdS boundary and at a finite cutoff surface, respectively.
The concrete forms of external forces are given.

Built on

I. Bredberg, C. Keeler, V. Lysov and A. Strominger, “Wilsonian Approach to Fluid/Gravity Duality,” JHEP 1103
Original
1902
Earlier work this paper cites.
D. G. Boulware and S. Deser, “String Generated Gravity Models,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
R. C. Myers, “higher derivative gravity, surface terms and string theory,” phys. Rev. D 36
1987
Earlier work this paper cites.
T. Jacobson and R. C. Myers, “Black hole entropy and higher curvature interactions,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
M. Parikh and F. Wilczek, “An Action for black hole membranes,” Phys. Rev. D 58
1998
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Charged AdS black holes and catastrophic holography,” Phys. Rev. D 60
1999
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Holography, thermodynamics and fluctuations of charged AdS black holes,” Phys. Rev. D 60
1999
Earlier work this paper cites.
P. Kraus, F. Larsen and R. Siebelink, “The gravitational action in asymptotically AdS and flat space-times,” Nucl. Phys. B 563
1999
Earlier work this paper cites.
J. M. Maldacena, “The Large N N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N N field theories, string theory and gravity,” Phys. Rept. 323
Original
2000
Earlier work this paper cites.
R. G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Phys. Rev. D 65
2002
Earlier work this paper cites.
M. Cvetic, S. ’i. Nojiri and S. D. Odintsov, “Black hole thermodynamics and negative entropy in de Sitter and anti-de Sitter Einstein-Gauss-Bonnet gravity,” Nucl. Phys. B 628
2002
Earlier work this paper cites.
M. Bianchi, D. Z. Freedman and K. Skenderis, “Holographic renormalization,” Nucl. Phys. B 631
2002
Earlier work this paper cites.
K. Skenderis, “Lecture notes on holographic renormalization,” Class. Quant. Grav. 19
2002
Earlier work this paper cites.
S. C. Davis, “Generalized Israel junction conditions for a Gauss-Bonnet brane world,” Phys. Rev. D 67
2003
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla and M. Rangamani, “Nonlinear Fluid Dynamics from Gravity,” JHEP 0802
Original
2008
Earlier work this paper cites.
D. Astefanesei, N. Banerjee and S. Dutta, “(Un)attractor black holes in higher derivative AdS gravity,” JHEP 0811
Original
2008
Earlier work this paper cites.
Y. Brihaye and E. Radu, “Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method,” JHEP 0809
Original
2008
Earlier work this paper cites.
I. Fouxon and Y. Oz, “Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations,” Phys. Rev. Lett. 101
Original
2008
Earlier work this paper cites.