Critical behavior in gravitational collapse of a perfect fluid

Details Critical behavior in gravitational collapse of a perfect fluid Critical behavior in gravitational collapse of a perfect fluid

May 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrvd..59j4008k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 59, Issue 10, 15 May 1999, id. 104008

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28

Self-Gravitating Systems, Continuous Media And Classical Fields In Curved Spacetime, Classical Black Holes, Renormalization-Group, Fractal, And Percolation Studies Of Phase Transitions

Scientific paper

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.

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