Lagrangian Description in the context of Emergent spacetime

TL;DR

This paper explores how the Lagrangian description of fluid motion can be used to understand emergent spacetime phenomena, revealing limitations of perturbations in generating analogue spacetime effects and analyzing the manifold structure of emergent spacetime.

Contribution

It applies Lagrangian Perturbation Theory to emergent spacetime in fluid systems, highlighting which perturbations can produce analogue spacetime effects and examining the manifold structure.

Findings

Not all perturbations produce analogue spacetime effects.

Lagrangian description reveals manifold structure of emergent spacetime.

Focus on nonrelativistic fluid flows.

Abstract

We make use of the Lagrangian description of fluid motion to highlight certain features in the context of spacetime geometry as emergent phenomena in fluid systems. We find by using Lagrangian Perturbation Theory (LPT), that not all kind of perturbations on a steady state flow can produce analogue spacetime effect. We also explore the manifold structure of emergent spacetime by using the Lagrangian description of fluid motion. We restrict ourselves to nonrelativistic flows.