Magnetogravitational stability of variable streams

Magnetohydrodynamic stability of an infinite self-gravitating, inviscid and perfectly conducting medium with streams of variable velocity distribution is investigated for general wave propagation. The streaming motion has a destabilizing influence on the medium. The magnetic field exerts a strong stabilizing effect which causes the bending of the magnetic force lines. The medium is unstable only for certain values of the wave number and stable for all other values. The instability Jean's criterion of a static medium is unaffected by the inclusion of the magnetic field effects, even if it is with a uniform streaming.