A Black Hole with No Marginally Trapped Tube Asymptotic to its Event Horizon

被引:0
作者
Williams, Catherine [1 ]
机构
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
来源
COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS IV, PT 2: GENERAL RELATIVITY, GEOMETRY, AND PDE | 2011年 / 554卷
关键词
SCALAR FIELD; GRAVITATIONAL COLLAPSE; NAKED SINGULARITIES; DYNAMICAL HORIZONS; UNIQUENESS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct an example of a spherically symmetric black hole interior in which there is no (spherically symmetric) marginally trapped tube asymptotic to the event horizon. The construction uses a self-gravitating massive scalar field matter model, and the key condition we impose is that the scalar field phi be bounded below by a positive constant along the event horizon.
引用
收藏
页码:253 / 263
页数:11
相关论文
共 17 条
[11]   A proof of Price's law for the collapse of a self-gravitating scalar field [J].
Dafermos, M ;
Rodnianski, I .
INVENTIONES MATHEMATICAE, 2005, 162 (02) :381-457
[12]   The interior of charged black holes and the problem of uniqueness in general relativity [J].
Dafermos, M .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2005, 58 (04) :445-504
[13]  
Dafermos M, 2005, ADV THEOR MATH PHYS, V9, P575
[14]   Introduction to dynamical horizons in numerical relativity [J].
Schnetter, Erik ;
Krishnan, Badri ;
Beyer, Florian .
PHYSICAL REVIEW D, 2006, 74 (02)
[15]   Asymptotic behavior of spherically symmetric marginally trapped tubes [J].
Williams, Catherine .
ANNALES HENRI POINCARE, 2008, 9 (06) :1029-1067
[16]   Marginally Trapped Tubes Generated from Nonlinear Scalar Field Initial Data [J].
Williams, Catherine .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 293 (02) :589-610
[17]  
[No title captured]