The fluid/gravity correspondence: a new perspective on the membrane paradigm

By V. Hubeny. 2010

287 citations recorded by the source corpus.

This paper gives an overview of the recently-formulated fluid/gravity correspondence, which was developed in the context of gauge/gravity duality. Mathematically, it posits that Einstein's equations (with negative cosmological constant) in d + 1 dimensions capture the (generalized) Navier–Stokes equations in d dimensions. Given an arbitrary fluid dynamical solution, we can systematically construct a corresponding asymptotically AdS black hole spacetime with a regular horizon whose properties mimic that of the fluid flow. Apart from an overview of this construction, we describe some of its applications and implications.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/06c39c23f62996546abecaba824bd4edcefd612d

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Citations in the corpus

Holographic Quantum Matter (2016, background): “For original papers see [67; 91; 246], and for a review see [400].”
The Effective Field Theorist's Approach to Gravitational Dynamics (2016, background): “61 Incidentally, unexpected cancelations (computed through the fluid/gravity correspondency) have also been found in [420], albeit for dissipative coefficients at higher order in the derivative expansion.”
Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes (2013, background): “…include the study of viscosity and related transport coefficients [6–9], more general aspects of dissipative hydrodynamics [10–12], quasi-normal modes and near-equilibrium response [13, 14], and dynamics of probes such as heavy quarks [15–19] or light quarks [20, 21].3 There has been much less…”
Numerical methods for finding stationary gravitational solutions (2015, background): “[48] V.”
The AdS/CFT correspondence (2014, unknown): “[131, 132].”
Flat holography and Carrollian fluids (2018, background): “Hence the holographic limit r → ∞ is lightlike, already at finite k, which is a well known feature of the derivative expansion, expressed by construction in Eddington-Finkelstein-like coordinates [3, 4, 6].”