Null fluid/gravity correspondence

TL;DR

This paper develops a null fluid/gravity correspondence by constructing asymptotically AdS pp-wave spacetimes via long-wavelength expansion, connecting zero temperature limits of fluid dynamics to ultra-relativistic gravitational regimes.

Contribution

It introduces a new class of perturbative AdS spacetimes and links null fluid dynamics to ultra-relativistic limits of the fluid/gravity correspondence, extending to asymptotically flat spacetimes.

Findings

Construction of asymptotically AdS pp-wave spacetimes via long-wavelength expansion.

Derivation of null fluid/gravity correspondence as zero temperature, ultra-relativistic limit.

Extension of results to asymptotically flat spacetimes using blackfold approach.

Abstract

We construct a new class of perturbative asymptotically Anti-de Sitter pp-wave spacetimes by performing a long-wavelength expansion of Kaigorodov metrics in arbitrary spacetime dimensions. Holographically, these spacetimes are described by a null fluid hydrodynamic expansion around null states in the conformal field theory, which can be obtained as zero temperature and infinite momentum limits of finite temperature states. Building on this, we explicitly show that special cases of this null fluid/gravity correspondence can be obtained as an ultra-relativistic limit of the usual fluid/gravity correspondence in which the temperature tends to zero while the flow approaches the speed of light. We also extend these results to the context of the blackfold approach in which the corresponding pp-wave spacetimes are asymptotically flat and can be obtained as infinite temperature limits of boosted black branes.