Flat holography and Carrollian fluids

By Luca Ciambelli, Charles Marteau, A. Petkou, P. Petropoulos, K. Siampos. Journal of High Energy Physics, 2018

181 citations recorded by the source corpus.

A bstractWe show that a holographic description of four-dimensional asymptotically locally flat spacetimes is reached smoothly from the zero-cosmological-constant limit of anti-de Sitter holography. To this end, we use the derivative expansion of fluid/gravity correspondence. From the boundary perspective, the vanishing of the bulk cosmological constant appears as the zero velocity of light limit. This sets how Carrollian geometry emerges in flat holography. The new boundary data are a two-dimensional spatial surface, identified with the null infinity of the bulk Ricci-flat spacetime, accompanied with a Carrollian time and equipped with a Carrollian structure, plus the dynamical observables of a conformal Carrollian fluid. These are the energy, the viscous stress tensors and the heat currents, whereas the Carrollian geometry is gathered by a two-dimensional spatial metric, a frame connection and a scale factor. The reconstruction of Ricci-flat spacetimes from Carrollian boundary data is conducted with a flat derivative expansion, resummed in a closed form in Eddington-Finkelstein gauge under further integrability conditions inherited from the ancestor anti-de Sitter set-up. These conditions are hinged on a duality relationship among fluid friction tensors and Cotton-like geometric data. We illustrate these results in the case of conformal Carrollian perfect fluids and Robinson-Trautman viscous hydrodynamics. The former are dual to the asymptotically flat Kerr-Taub-NUT family, while the latter leads to the homonymous class of algebraically special Ricci-flat spacetimes.

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

View Paper: https://www.semanticscholar.org/paper/9834c98c73bd4b0b885175be2a38fc45a33b7a69

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Citations in the corpus

Carroll structures, null geometry, and conformal isometries (2019, methodology): “To avoid confusion, we should mention that the latter combination was precisely used as b in [13,14].”
Bridging Carrollian and celestial holography (2022, background): “From these considerations, we will say that a field is a conformal Carrollian primary (also referred to as Carrollian tensor [35,41,155,173]) if it transforms infinitesimally as”
Carrollian physics at the black hole horizon (2019, background): “Carrollian geometry emerges from an ultra-relativistic (c → 0) limit of the relativistic metric and was shown to have a rich mathematical structure and interesting dynamics [7, 9, 10, 12, 13, 16, 42].”