Fefferman--Graham and Bondi Gauges in the Fluid/Gravity Correspondence
| Autor: | P. Marios Petropoulos, Romain Ruzziconi, Charles Marteau, Luca Ciambelli |
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| Přispěvatelé: | Centre de Physique Théorique [Palaiseau] (CPHT), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Gravity (chemistry) dimension: 3 gauge fixing High Energy Physics::Lattice FOS: Physical sciences Boundary (topology) expansion: derivative General Relativity and Quantum Cosmology (gr-qc) Cosmological constant cosmological constant: negative Space (mathematics) fluid: velocity 01 natural sciences General Relativity and Quantum Cosmology High Energy Physics::Theory 0103 physical sciences Limit (mathematics) 010306 general physics Gauge fixing Mathematical physics Physics [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 010308 nuclear & particles physics diffeomorphism Function (mathematics) duality: holography Gauge (firearms) fluid/gravity correspondence High Energy Physics - Theory (hep-th) hydrodynamics [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] |
| Zdroj: | Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019) """Proceedings of Corfu Summer Institute 2019 """"School and Workshops on Elementary Particle Physics and Gravity"""" — PoS(CORFU2019)""" PoS 19th Hellenic School and Workshops on Elementary Particle Physics and Gravity 19th Hellenic School and Workshops on Elementary Particle Physics and Gravity, Aug 2019, Corfu, Greece. pp.154, ⟨10.22323/1.376.0154⟩ |
| DOI: | 10.22323/1.376.0154 |
| Popis: | In three-dimensional gravity, we discuss the relation between the Fefferman--Graham gauge, the Bondi gauge and the Eddington--Finkelstein type of gauge, often referred to as the derivative expansion, involved in the fluid/gravity correspondence. Starting with a negative cosmological constant, for each gauge, we derive the solution space and the residual gauge diffeomorphisms. We construct explicitly the diffeomorphisms that relate the various gauges, and establish the precise matching of their boundary data. We show that Bondi and Fefferman--Graham gauges are equivalent, while the fluid/gravity derivative expansion, originating from a partial gauge fixing, exhibits an extra unspecified function that encodes the boundary fluid velocity. The Bondi gauge turns out to describe a subspace of the derivative expansion's solution space, featuring a fluid in a specific hydrodynamic frame. We pursue our analysis with the Ricci-flat limit of the Bondi gauge and of the fluid/gravity derivative expansion. The relations between them persist in this limit, which is well-defined and non-trivial. Moreover, the flat limit of the derivative expansion maps to the ultra-relativistic limit on the boundary. This procedure allows to unravel the holographic properties of the Bondi gauge for vanishing cosmological constant, in terms of its boundary Carrollian dual fluid. 36 Pages, Latex. Proceeding Corfu 2019. V2, with appended mathematica notebook |
| Databáze: | OpenAIRE |
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