Continuous self-similarity and S-duality

被引:34
作者
Hamade, RS
Horne, JH
Stewart, JM
机构
[1] Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 9EW, Silver Street
关键词
D O I
10.1088/0264-9381/13/8/017
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the spherically symmetric collapse of the axion/dilaton system coupled to gravity. We show numerically that the critical solution at the threshold of black hole formation is continuously self-similar. Numerical and analytical arguments both demonstrate that the mass scaling away from criticality has a critical exponent of gamma = 0.264.
引用
收藏
页码:2241 / 2253
页数:13
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]   UNIVERSALITY IN AXISYMMETRICAL VACUUM COLLAPSE [J].
ABRAHAMS, AM ;
EVANS, CR .
PHYSICAL REVIEW D, 1994, 49 (08) :3998-4003
[3]   ADAPTIVE MESH REFINEMENT FOR HYPERBOLIC PARTIAL-DIFFERENTIAL EQUATIONS [J].
BERGER, MJ ;
OLIGER, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 1984, 53 (03) :484-512
[4]   UNIVERSALITY AND SCALING IN GRAVITATIONAL COLLAPSE OF A MASSLESS SCALAR FIELD [J].
CHOPTUIK, MW .
PHYSICAL REVIEW LETTERS, 1993, 70 (01) :9-12
[5]   S-DUALITY AT THE BLACK-HOLE THRESHOLD IN GRAVITATIONAL COLLAPSE [J].
EARDLEY, DM ;
HIRSCHMANN, EW ;
HORNE, JH .
PHYSICAL REVIEW D, 1995, 52 (10) :R5397-R5401
[6]   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
[7]   CHOPTUIK SPACETIME AS AN EIGENVALUE PROBLEM [J].
GUNDLACH, C .
PHYSICAL REVIEW LETTERS, 1995, 75 (18) :3214-3217
[8]   The spherically symmetric collapse of a massless scalar field [J].
Hamade, RS ;
Stewart, JM .
CLASSICAL AND QUANTUM GRAVITY, 1996, 13 (03) :497-512
[9]   UNIVERSAL SCALING AND ECHOING IN THE GRAVITATIONAL COLLAPSE OF A COMPLEX SCALAR FIELD [J].
HIRSCHMANN, EW ;
EARDLEY, DM .
PHYSICAL REVIEW D, 1995, 51 (08) :4198-4207
[10]   CRITICAL EXPONENTS AND STABILITY AT THE BLACK-HOLE THRESHOLD FOR A COMPLEX SCALAR FIELD [J].
HIRSCHMANN, EW ;
EARDLEY, DM .
PHYSICAL REVIEW D, 1995, 52 (10) :5850-5856