Abstract
To confirm the scenario of critical behavior in gravitational collapse in a previous paper we carry out a rather complete analysis for perfect fluids with pressure proportional to density, in a wide range of the adiabatic index γ. In particular, the uniqueness of the relevant mode around a fixed point is established by a Lyapunov analysis. This shows that critical phenomena occur not only for the radiation fluid but also for perfect fluids with 1 < γ≲ 1.889. We also analyze the stability of other self-similar solutions and also discuss the universality class.
| Original language | English |
|---|---|
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 59 |
| Issue number | 10 |
| Publication status | Published - 1999 May 15 |
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)