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2020

Fefferman-Graham and Bondi Gauges in the Fluid/Gravity Correspondence

Ciambelli, Luca, Marteau, Charles, Petropoulos, P. Marios et al.

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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.

Fefferman-Graham and Bondi Gauges in the Fluid/Gravity Correspondence · Around

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