Critical behavior in gravitational collapse of a perfect fluid

被引:32
作者
Koike, T [1 ]
Hara, T
Adachi, S
机构
[1] Keio Univ, Dept Phys, Kohoku Ku, Yokohama, Kanagawa 223, Japan
[2] Tokyo Inst Technol, Dept Appl Phys, Meguro Ku, Tokyo 152, Japan
来源
PHYSICAL REVIEW D | 1999年 / 59卷 / 10期
关键词
D O I
10.1103/PhysRevD.59.104008
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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 gamma. 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 < gamma less than or similar to 1.889. We also analyze the stability of other self-similar solutions and also discuss the universality class. [S0556-2821(98)04324-0].
引用
收藏
页数:9
相关论文
共 13 条
[1]   CRITICAL-BEHAVIOR AND SCALING IN VACUUM AXISYMMETRICAL GRAVITATIONAL COLLAPSE [J].
ABRAHAMS, AM ;
EVANS, CR .
PHYSICAL REVIEW LETTERS, 1993, 70 (20) :2980-2983
[2]  
BOGOYAVLENSKII OI, 1977, SOV PHYS JETP, V46, P633
[3]   UNIVERSALITY AND SCALING IN GRAVITATIONAL COLLAPSE OF A MASSLESS SCALAR FIELD [J].
CHOPTUIK, MW .
PHYSICAL REVIEW LETTERS, 1993, 70 (01) :9-12
[4]   SELF-SIMILAR SPACETIMES - GEOMETRY AND DYNAMICS [J].
EARDLEY, DM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 37 (04) :287-309
[5]   CRITICAL PHENOMENA AND SELF-SIMILARITY IN THE GRAVITATIONAL COLLAPSE OF RADIATION FLUID [J].
EVANS, CR ;
COLEMAN, JS .
PHYSICAL REVIEW LETTERS, 1994, 72 (12) :1782-1785
[6]   GENERAL-RELATIVISTIC COLLAPSE OF HOMOTHETIC IDEAL-GAS SPHERES AND PLANES [J].
FOGLIZZO, T ;
HENRIKSEN, RN .
PHYSICAL REVIEW D, 1993, 48 (10) :4645-4657
[7]   Charge scaling and universality in critical collapse [J].
Gundlach, C ;
MartinGarcia, JM .
PHYSICAL REVIEW D, 1996, 54 (12) :7353-7360
[8]  
HARA T, GRQC9607010
[10]  
KOIKE T, THESIS TOKYO I TECHN