Fluid-gravity correspondence and causal first-order relativistic viscous hydrodynamics

Abstract

The fluid-gravity correspondence is a duality between anti-de Sitter Einstein gravity and a relativistic fluid living at the conformal boundary. We show that one can accommodate the causal first-order viscous hydrodynamics recently developed by Bemfica, Disconzi, Noronha, and Kovtun in this framework, by requiring a set of natural conditions for the geometric data at the horizon. The latter hosts an induced Carrollian fluid, whose equations of motion are shown to be tightly tied to the ones describing the fluid at the boundary. Functional expressions for the transport coefficients are found --with those associated to viscosity and heat flux uniquely determined--, satisfying a set of known causality requirements for the underlying equations of motion.

V2, version published in PRD

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Cited by in corpus (7)

• Recent developments in mathematical aspects of relativistic fluids
• Carroll Hawking effect
• Radiation in Fluid/Gravity and the Flat Limit
• Asymptotic Limit of Null Hypersurfaces
• First-Order Viscous Relativistic Hydrodynamics on the Two-Sphere
• Unique Carrollian manifolds emerging from Einstein spacetimes
• Sourced Carrollian Fluids Dual to Black Hole Horizons