Critical behavior in gravitational collapse of a perfect fluid

Tatsuhiko Koike, Takashi Hara, Satoshi Adachi

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)1-9
Number of pages9
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number10
Publication statusPublished - 1999 May 15

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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