CHOPTUIK SPACETIME AS AN EIGENVALUE PROBLEM

被引:88
作者
GUNDLACH, C [1 ]
机构
[1] UNIV UTAH,DEPT PHYS,SALT LAKE CITY,UT 84112
关键词
D O I
10.1103/PhysRevLett.75.3214
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By fine-tuning generic Cauchy data, critical phenomena have recently been discovered in the black-hole/no-black-hole ''phase transition'' of various gravitating systems. For the spherisymmetric scalar field system, we find the ''critical'' spacetime separating the two phases by demanding discrete scale invariance, analyticity, and an additional reflection-type symmetry. The resulting nonlinear hyperbolic boundary value problem, with the rescaling factor Delta as the eigenvalue, is solved numerically by relaxation. We find Delta = 3.4439 +/- 0.0004.
引用
收藏
页码:3214 / 3217
页数:4
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