Linearized Turbulent Fluid Flow as an Analog Model for Linearized General Relativity (Gravitoelectromagnetism)

Abstract

In the spirit of analog models of and for general relativity, we explore the isomorphism between the equations of linearized turbulent fluid flow and those of the linearized form of GR, gravitoelectromagnetism. The correspondence between the truncated Reynolds system for turbulent fluid flow and the Maxwell-like gravitoelectromagnetic equations for weak-field GR is shown to provide yet another example of the relationship between the representation of fluctuations in background media and curved spacetime formulations.