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Résumé |
Various extensions of the AdS/CFT correspondence beyond the realm of asymptotically anti-de Sitter spacetimes have been proposed. Among those, the
asymptotically flat spacetimes have played a distinguished and recently revived role. With the exception of three spacetime dimensions, and despite the
wide interest and the precise knowledge of the asymptotic symmetries, no concrete proposal was available. Following a macroscopic path, we reconsider the
asymptotically flat limit of AdS/CFT andconclude that duals of Ricci-flat spacetimes in the sense of fluid/gravity correspondence are Carrollian fluids defined
at null infinity. This approach requires to set up Carrollian hydrodynamics as the limit of relativistic hydrodynamics at vanishing velocity of light. We perform
this in full generality using Randers-Papapetrou frames. The method is illustrated for asymptotically flat Robinson-Trautman or Kerr-Taub-NUT families
reconstructed using viscous or perfect, time-dependent or stationary Carrollian fluids defined on the Carrollian boundary. |
