Nonperfect Carrollian Fluids Through Holography

TL;DR

This paper develops a holographic framework linking gravitational radiation to dissipative processes in boundary fluids, revealing a Carrollian limit where dissipation is described by Carroll-covariant tensors, exemplified by Robinson-Trautman solutions.

Contribution

It introduces a gauge/gravity duality approach to gravitational radiation and dissipation, extending to Carrollian fluids and providing a new perspective on entropy production.

Findings

Established a correspondence between bulk gravitational waves and boundary dissipation.

Derived Carrollian fluid dynamics from a flat limit of holographic models.

Applied the framework to Robinson-Trautman solutions as an example.

Abstract

We embed the covariant, gauge-invariant gravitational radiation criteria of Fern\'andez-\'Alvarez and Senovilla, based in terms of conformal geometry and the Bel-Robinson tensor, into the hydrodynamic framework of gauge/gravity duality. This construction uncovers a direct correspondence between bulk gravitational waves and dissipative processes in the boundary theory, from which a natural notion of entropy production emerges. We further analyze a smooth flat limit in which the dual fluid becomes Carrollian, with dissipation governed by Carroll-covariant tensors. As an example, we apply our framework to the Robinson-Trautman family of solutions.