Numerical approaches to spacetime singularities

被引：116
作者：
Berger B.K. [1 ,2 ]
机构：
[1] Physics Department, Oakland University, Rochester
[2] Physics Division, National Science Foundation, Arlington, VA 22230
来源：
Living Reviews in Relativity | 2002年 / 5卷 / 1期
关键词：
Black Hole; Naked Singularity; Cosmic Censorship; Adaptive Mesh Refinement; Cauchy Horizon;
D O I：
10.12942/lrr-2002-1
中图分类号：
学科分类号：
摘要：
This Living Review updates a previous version [25] which is itself an update of a review article [31]. Numerical exploration of the properties of singularities could, in principle, yield detailed understanding of their nature in physically realistic cases. Examples of numerical investigations into the formation of naked singularities, critical behavior in collapse, passage through the Cauchy horizon, chaos of the Mixmaster singularity, and singularities in spatially inhomogeneous cosmologies are discussed.
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[31]  
Berger B.K., How to Determine Approximate Mixmaster Parameters from Numerical Evolution of Einstein's Equations, Phys. Rev. D, 49, pp. 1120-1123, (1994)
[32]  
Berger B.K., How to Determine Approximate Mixmaster Parameters from Numerical Evolution of Einstein's Equations, (1993)
[33]  
Berger B.K., Comment on the 'Chaotic' Singularity in Some Magnetic Bianchi VI <sub>0</sub> Cosmologies, Class. Quantum Grav., 13, pp. 1273-1276, (1996)
[34]  
Berger B.K., Cosmologies, (1995)
[35]  
Berger B.K., Numerical Investigation of Cosmological Singularities, Relativity and Scientific Computing, pp. 152-169, (1996)
[36]  
Berger B.K., Numerical Investigation of Cosmological Singularities, (1995)
[37]  
Berger B.K., Numerical Investigation of Singularities, General Relativity and Gravitation, pp. 57-78, (1997)
[38]  
Berger B.K., Numerical Investigation of Singularities, (1995)
[39]  
Berger B.K., Approach to the Singularity in Spatially Inhomogeneous Cosmologies, Differential Equations and Mathematical Physics: Proceedings of An International Conference Held at the University of Alabama, (2000)
[40]  
Berger B.K., Approach to the Singularity in Spatially Inhomogeneous Cosmologies, (2001)
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