Gravity and hydrodynamics: lectures on the fluidgravity correspondence
Abstract
We discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluidgravity correspondence which provides a map between a class of inhomogeneous, dynamical, black hole solutions in asymptotically AdS spacetimes and arbitrary fluid flows in the strongly interacting boundary field theory. We explain how the geometric duals to the fluid dynamics are constructed in a boundary derivative expansion and use the construction to extract the hydrodynamic transport coefficients. In addition, we also describe the recent developments extending the correspondence to incorporate matter fields and to nonrelativistic systems. Based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge Theories, Geneva, Switzerland (February 2009).
 Publication:

Classical and Quantum Gravity
 Pub Date:
 November 2009
 DOI:
 10.1088/02649381/26/22/224003
 arXiv:
 arXiv:0905.4352
 Bibcode:
 2009CQGra..26v4003R
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Physics  Fluid Dynamics
 EPrint:
 60 pages, 3 eps figures. v2: added refs. v3: corrected typos