Gravity and Hydrodynamics: Lectures on the fluid-gravity correspondence

Rangamani, Mukund

doi:10.1088/0264-9381/26/22/224003

Gravity and Hydrodynamics: Lectures on the fluid-gravity correspondence

Rangamani, Mukund

Authors

Mukund Rangamani

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 fluid-gravity 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 non-relativistic systems. Based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge Theories, Geneva, Switzerland (February 2009).

Citation

Rangamani, M. (2009). Gravity and Hydrodynamics: Lectures on the fluid-gravity correspondence. Classical and Quantum Gravity, 26(22), Article 224003. https://doi.org/10.1088/0264-9381/26/22/224003

Journal Article Type	Article
Publication Date	Jan 1, 2009
Deposit Date	Nov 24, 2010
Publicly Available Date	Sep 11, 2012
Journal	Classical and Quantum Gravity
Print ISSN	0264-9381
Electronic ISSN	1361-6382
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	26
Issue	22
Article Number	224003
DOI	https://doi.org/10.1088/0264-9381/26/22/224003
Keywords	Supergravity, Conformal field theory, Algebraic structures, Quantum aspects of black holes, Evaporation, Thermodynamics.