FRW universe in the laboratory

TL;DR

This paper demonstrates how to simulate various Friedmann-Robertson-Walker (FRW) spacetimes, including de Sitter space, using an expanding relativistic fluid with spherical symmetry as an analog model within relativistic acoustic geometry.

Contribution

It introduces a method to mimic any FRW spacetime with different spatial curvatures using a relativistic fluid and specific potentials in the Lagrangian framework.

Findings

Successfully models analog de Sitter spacetime with positive and negative curvature

Shows how to obtain different FRW geometries by choosing appropriate potentials

Provides a framework for laboratory simulation of cosmological spacetimes

Abstract

We consider an expanding relativistic fluid with spherical symmetry as a model for an analog FRW spacetime. In the framework of relativistic acoustic geometry we demonstrate how to mimic an arbitrary FRW spacetime with positive, zero or negative spatial curvature. In the Lagrangian description we show that a particular FRW spacetime is obtained by choosing the appropriate potential. We discuss several examples and in particular the analog de Sitter spacetime in the coordinate representation with positive and negative spatial curvature.