On the well-posedness of relativistic viscous fluids with non-zero vorticity

Abstract

We study the problem of coupling Einstein’s equations to a physically well-motivated relativistic modification of the Navier-Stokes equations. Under a technical condition for the vorticity, we prove existence and uniqueness in a suitable Gevrey class if the fluid’s dynamic velocity has vanishing divergence, and show that the solutions enjoy the finite propagation speed property.