2013/03/31 by Roberto Emparan, Veronika E. Hubeny, Veronika E Hubeny +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Conformal map #Cosmology and Gravitation Theories #Dynamics (music) #Effective field theory #Field (mathematics) #Gauge theory #Gravitation #Perfect fluid #Quantum Electrodynamics and Casimir Effect #Tensor (intrinsic definition) #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep06(2013)035
published as JHEP 06 (2013) 035 · 36 pages, 4 figures (pdf). v2: added refs. v3: typos fixed
openalex publication_date 2013/06/01 · arxiv created 2014/03/02 · openalex created_date 2016/06/24 · arxiv updated 2022/03/07 · openalex updated_date 2026/08/05
The long-wavelength effective field theory of world-volume fluctuations of black D3-branes is shown to be a hydrodynamical system to leading order in a gradient expansion. We study the system on a fiducial `cutoff' surface: the fluctuating geometry imprints its dynamics on the surface via an induced stress tensor whose conservation encapsulates the hydrodynamical description. For a generic non-extremal D3-brane, as we move our cutoff surface from the asymptotically flat near-boundary region to the near-horizon region, this hydrodynamical system interpolates between a non-conformal relativistic fluid and a non-relativistic incompressible fluid. We also consider the dependence on the deviation from extremality of the D3-branes. In the near-extremal case we recover the description in terms of a conformal relativistic fluid encountered in the AdS/CFT context. We argue that this system allows us therefore to explore the various connections that have hitherto been suggested relating the dynamics of gravitational systems and fluid dynamics. In particular, we go on to show that the blackfold effective field theory approach allows us to capture this hydrodynamical behaviour and moreover subsumes the constructions encountered in the fluid/gravity correspondence and the black hole membrane paradigm, providing thereby a universal language to explore the effective dynamics of black branes.