Ill-posedness of a double-null free-evolution scheme for black hole spacetimes
- 1 April 1997
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 14 (4) , 991-997
- https://doi.org/10.1088/0264-9381/14/4/014
Abstract
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 - Nordström spacetimes in double-null coordinates.Keywords
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