Breakdown of self-similar evolution in homogeneous perfect fluid collapse
| dc.creator | Mitsuda, Eiji | |
| dc.creator | Tomimatsu, Akira | |
| dc.date | 2006-10-10 | |
| dc.date | 2006-11-15 | |
| dc.date.accessioned | 2026-07-07T07:27:58Z | |
| dc.date.available | 2026-07-07T07:27:58Z | |
| dc.description | 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 $α\ll 1$, 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. | |
| dc.description | 9 pages, 1 figure, references added, published in Physical Review D | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0610042 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0610042 | |
| dc.identifier | Phys.Rev. D74 (2006) 104019 | |
| dc.identifier | doi:10.1103/PhysRevD.74.104019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117567 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Breakdown of self-similar evolution in homogeneous perfect fluid collapse | |
| dc.type | text |