CRITICAL-BEHAVIOR IN GRAVITATIONAL COLLAPSE OF RADIATION FLUID - A RENORMALIZATION-GROUP (LINEAR PERTURBATION) ANALYSIS

被引：217

作者：

KOIKE, T ^{[1
]}

机构：

[1] TOKYO INST TECHNOL, DEPT APPL PHYS, MEGURO KU, TOKYO 152, JAPAN

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 74卷 / 26期

关键词：

D O I：

10.1103/PhysRevLett.74.5170

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the universality and scaling observed in a numerical study of gravitational collapse of radiation fluid. In particular, it is shown that the critical exponent β and the largest Lyapunov exponent Reκ of the perturbation is related by β=(Reκ)-1. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent β0.355 801 92, also in agreement with that obtained in numerical simulation. © 1995 The American Physical Society.

引用

页码：5170 / 5173

页数：4

共 9 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] RENORMALIZATION-GROUP AND ASYMPTOTICS OF SOLUTIONS OF NONLINEAR PARABOLIC EQUATIONS [J].

BRICMONT, J ;

KUPIAINEN, A ;

LIN, G .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1994, 47 (06) :893-922

[3] EQUATIONS GOVERNING PERTURBATIONS OF SCHWARZSCHILD BLACK-HOLE [J].

CHANDRASEKHAR, S .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 343 (1634) :289-298

[4] UNIVERSALITY AND SCALING IN GRAVITATIONAL COLLAPSE OF A MASSLESS SCALAR FIELD [J].

CHOPTUIK, MW .

PHYSICAL REVIEW LETTERS, 1993, 70 (01) :9-12

[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]

HARA T, IN PRESS

[7] NAKED SINGULARITIES AND OTHER FEATURES OF SELF-SIMILAR GENERAL-RELATIVISTIC GRAVITATIONAL COLLAPSE [J].

ORI, A ;

PIRAN, T .

PHYSICAL REVIEW D, 1990, 42 (04) :1068-1090

[8]

WILSON K, 1992, LECTURES CRITICAL PH

[9]

Wilson K. G., 1974, Physics Reports. Physics Letters Section C, V12c, P75, DOI 10.1016/0370-1573(74)90023-4

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