Gravitational Collapse of Filamentary Magnetized Molecular Clouds

We develop models for the self-similar collapse of magnetized isothermal cylinders. We find solutions for the case of a fluid with a constant toroidal flux-to-mass ratio (Γϕ = constant) and the case of a fluid with a constant gas to magnetic pressure ratio (β = constant). In both cases, we find that a low magnetization results in density profiles that behave as ρ ∝ r-4 at large radii, and at high magnetization we find density profiles that …