Critical behavior in gravitational collapse of a perfect fluid

Tatsuhiko Koike, Satoshi Adachi

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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 (Formula presented) We also analyze the stability of other self-similar solutions and also discuss the universality class.

Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume59
Issue number10
DOIs
Publication statusPublished - 1999 Apr 1

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ASJC Scopus subject areas

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

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