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Gauges in three-dimensional gravity and holographic fluids

par Ciambelli, Luca ;Marteau, Charles;Petropoulos, Panagiotis Marios;Ruzziconi, Romain
Référence The journal of high energy physics (Online), 2020, 11, 92
Publication Publié, 2020-11

Article révisé par les pairs

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Résumé :

Solutions to Einstein’s vacuum equations in three dimensions are locally maximally symmetric. They are distinguished by their global properties and their investigation often requires a choice of gauge. Although analyses of this sort have been performed abundantly, several relevant questions remain. These questions include the interplay between the standard Bondi gauge and the Eddington-Finkelstein type of gauge used in the fluid/gravity holographic reconstruction of these spacetimes, as well as the Fefferman-Graham gauge, when available i.e. in anti de Sitter. The goal of the present work is to set up a thorough dictionary for the available descriptions with emphasis on the relativistic or Carrollian holographic fluids, which portray the bulk from the boundary in anti-de Sitter or flat instances. A complete presentation of residual diffeomorphisms with a preliminary study of their algebra accompanies the situations addressed here.