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 language | English |
|---|---|
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 59 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1999 Apr 1 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Cite this
Critical behavior in gravitational collapse of a perfect fluid. / Koike, Tatsuhiko; Adachi, Satoshi.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 59, No. 10, 01.04.1999.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Critical behavior in gravitational collapse of a perfect fluid
AU - Koike, Tatsuhiko
AU - Adachi, Satoshi
PY - 1999/4/1
Y1 - 1999/4/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=85037875513&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.59.104008
DO - 10.1103/PhysRevD.59.104008
M3 - Article
AN - SCOPUS:85037875513
VL - 59
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 10
ER -