Jeans instability in the linearized Burnett regime

Jeans instability is derived for the case of a low-density self-gravitating gas beyond the Navier–Stokes equations. The Jeans instability criterium is shown to depend on a Burnett coefficient if the formalism is taken up to fourth order in the wave number. It is also shown that previously known viscosity corrections to the Jeans wave-number are enhanced if the full fourth-order formalism is applied to the stability analysis.