Gravitomagnetic effects on turbulence physics

Abstract

We indicate a limit of the post-Newtonian gravity equations with incompressible-fluid matter source in which Newtonian gravity is approximately decoupled from relativistic gravitomagnetic effects. In this gravito-magneto-hydrodynamic limit, we perform fully developed turbulence calculations. We demonstrate that gravitomagnetic effects reduce the vortical complexity and nonlinearity of turbulence, even leading to its extinction within large volumes, and generate departures from Kolmogorov turbulence scalings, that are explained via a combination of dimensional and exact analysis arguments.