  For the solution of the full set of magnetohydrodynamics (MHD) equations in
the presence of gravity due to a central point-mass, a self-similar theory for
a general polytrope has already suggested a set of exact time-dependent
solutions by analytical methods for a, (gamma = 4\over3) polytrope, since
(gamma = 4/3) is the simplest to treat. In the present paper while going for a
complete set of self-similar solutions, we find that (gamma = 4/3) is the only
physically-possible polytrope and that then, pressure is independent of the
scalar function A, and depends on angle and time only. We also obtain a
specific form of time-dependence for the self-similar variable.
