Gravitational collapse of the cylindrical elongated cloud is studied by
numerical magnetohydrodynamical simulations. In the infinitely long cloud in
hydrostatic configuration, small perturbations grow by the gravitational
instability. The most unstable mode indicated by a linear perturbation theory
grows selectively even from a white noise. The growth rate agrees with that
calculated by the linear theory. First, the density-enhanced region has an
elongated shape, i.e., prolate spheroidal shape. As the collapse proceeds, the
high-density fragment begins to contract mainly along the symmetry axis.
Finally, a spherical core is formed in the non-magnetized cloud. In contrast,
an oblate spheroidal dense disk is formed in a cloud in which the magnetic
pressure is nearly equal to the thermal one. The radial size of the disk
becomes proportional to the initial characteristic density scale-height in the
r-direction. As the collapse proceeds, a slowly contracting dense part is
formed (approximately < 10% in mass) inside of the fast contracting disk. And
this is separated from other part of the disk whose inflow velocity is
accelerated as reaching the center of the core. From arguments on the Jeans
mass and the magnetic critical mass, it is concluded that the fragments formed
in a cylindrical elongated cloud can not be supported against the self- gravity
and it will eventually collapse.Comment: 20 pages, figures available upon request, LaTeX, NIGAST040