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.
- Received 10 November 2023
- Accepted 1 December 2023
DOI:https://doi.org/10.1103/PhysRevD.108.126019
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society