@article{oai:nagoya.repo.nii.ac.jp:00007165,
 author = {Mitsuda, Eiji and Tomimatsu, Akira},
 issue = {10},
 journal = {PHYSICAL REVIEW D},
 month = {Nov},
 note = {The stability analysis of self-similar solutions is an important approach to confirm whether they act as an attractor in general non-self-similar gravitational collapse. Assuming that the collapsing matter is a perfect fluid with the equation of state P=αρ, we study spherically symmetric non-self-similar perturbations in homogeneous self-similar collapse described by the flat Friedmann solution. In the low pressure approximation α≪1, we analytically derive an infinite set of the normal modes and their growth (or decay) rate. The existence of one unstable normal mode is found to conclude that the self-similar behavior in homogeneous collapse of a sufficiently low pressure perfect fluid must terminate and a certain inhomogeneous density profile can develop with the lapse of time.},
 pages = {104019--104019},
 title = {Breakdown of self-similar evolution in homogeneous perfect fluid collapse},
 volume = {74},
 year = {2006}
}