Nonlinear fluid dynamics from gravity

By Sayantani Bhattacharyya, V. Hubeny, Shiraz Minwalla, M. Rangamani. 2007

1,198 citations recorded by the source corpus.

Black branes in AdS5 appear in a four parameter family labeled by their velocity and temperature. Promoting these parameters to Goldstone modes or collective coordinate fields—arbitrary functions of the coordinates on the boundary of AdS5—we use Einstein's equations together with regularity requirements and boundary conditions to determine their dynamics. The resultant equations turn out to be those of boundary fluid dynamics, with specific values for fluid parameters. Our analysis is perturbative in the boundary derivative expansion but is valid for arbitrary amplitudes. Our work may be regarded as a derivation of the nonlinear equations of boundary fluid dynamics from gravity. As a concrete application we find an explicit expression for the expansion of this fluid stress tensor including terms up to second order in the derivative expansion.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d494afb5e8272075cdde39af4b631a1238e0fb24

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Rangamani
2. V. Hubeny
3. R. Myers
4. S. Hartnoll
5. S. Sachdev
6. T. Takayanagi
7. S. Gubser
8. E. Kiritsis

In Atomic and Molecular Physics, and Optics

1. M. Rangamani
2. S. Hartnoll
3. T. Takayanagi
4. R. Myers
5. V. Hubeny
6. S. Sachdev
7. Marika Taylor
8. Blaise Goutéraux

In Nuclear and High Energy Physics

1. M. Rangamani
2. V. Hubeny
3. R. Myers
4. S. Hartnoll
5. S. Gubser
6. T. Takayanagi
7. S. Sachdev
8. E. Kiritsis

Citations in the corpus

• Edge modes of gravity. Part I. Corner potentials and charges (2020, background): “which suggests that the time-like boundary has the structure of an hydrodynamical fluid [74–76].”
• Holographic evolution of entanglement entropy (2010, positive): “This fact describes well the data from heavy ion experiments and has represented a major success for the holographic techniques, which were extended in [5, 6] to the study of non-linear fluid dynamics.”
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes (2009, background): “e the dynamical passage of a system from a (1)See [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20] for a recent structural understanding of this connection.”
• Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality (2007, result): “Note added: While this paper is in preparation, a number of interesting papers appeared [30, 31, 32], which study the similar problem as ours (See also Ref.”
• Conformal hydrodynamics in Minkowski and de Sitter spacetimes (2010, background): “Explicitly, the construction of [12] is as follows.”
• Improved Holographic QCD (2010, background): “Although it increases with temperature, it does so slower than in N = 4 SYM, signaling the effects of asymptotic freedom.”
• Black holes as effective geometries (2008, background): “In an interesting recent work, a connection between non-supersymmetric black holes and interacting fluid dynamics was found [76, 77], which suggests that the type of dual descriptions in terms of free gases of particles that we used in the supersymmetric cases may not be sufficient.”
• Essentials of blackfold dynamics (2009, background): “The development of this line of argument, which can be regarded as a blend of the ideas for the effective descriptions of black hole dynamics in [18, 19] (and references therein), and in [17], produces a systematic derivation of the blackfold equations.”
• Non linearities in the harmonic spectrum of heavy ion collisions with ideal and viscous hydrodynamics (2012, background): “[34] Sayantani Bhattacharyya, Veronika E Hubeny, Shiraz Minwalla, and Mukund Rangamani, “Nonlinear Fluid Dynamics from Gravity,” JHEP 0802, 045 (2008), arXiv:0712.”
• Relativistic Fluid Dynamics in and out of Equilibrium (2017, background): “[19, 28, 29] [28, 119, 120] [121–123] [124–127] [128, 129] [130] [131, 132]”
• Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, methodology): “In section 4, we will review the basic scheme to construct gravitational solutions dual to fluid dynamics following [4].”
• Fluid dynamics of R-charged black holes (2008, methodology): “We refer the reader to [14, 18] for details.”
• The AdS/CFT correspondence (2014, methodology): “This strategy was implemented in [66], explicitly up to second order in derivative expansion.”
• A Holographic View on Physics out of Equilibrium (2010, methodology): “This is the source of the factors of 2 appearing in the definition of the tensors Ti, see [22] for a discussion.”
• Constraints on fluid dynamics from equilibrium partition functions (2012, methodology): “In this paper we nowhere utilize the AdS/CFT correspondence.”
• Entropy production in collisions of gravitational shock waves and of heavy ions (2008, methodology): “An optimistic view is that a fairly full account could be made by somehow matching a marginally trapped surface computation to a late-time description that fuses a linearized treatment of non-hydrodynamical quasi-normal modes, as described in [55, 56], with a nonlinear treatment of hydrodynamical mo”