Ill-posedness of a double-null free-evolution scheme for black hole spacetimes

被引:7
作者
Gundlach, C [1 ]
Pullin, J [1 ]
机构
[1] PENN STATE UNIV,DEPT PHYS,CTR GRAVITAT PHYS & GEOMETRY,DAVEY LAB 104,UNIVERSITY PK,PA 16802
关键词
D O I
10.1088/0264-9381/14/4/014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We suggest that 'free-evolution' integration schemes for the Einstein equations (that do not enforce constraints) may contain exponentially growing modes that render them useless in numerical integrations of black hole spacetimes, independently of how the equations are differenced. As an example we consider the evolution of Schwarzschild and Reissner-Nordstrom spacetimes in double-null coordinates.
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页码:991 / 997
页数:7
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