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

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

1996-06-11

arxiv.org/abs/gr-qc/9606022v2

Class.Quant.Grav. 14 (1997) 991

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, RevTeX, 1 figure, changes in introduction, title and conclusions, figure added, to appear in Classical and Quantum Gr

Scientific paper

10.1088/0264-9381/14/4/014

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-Nordstr\"om spacetimes in double null coordinates.

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