Ill-posedness of a double null free evolution scheme for black hole spacetimes
General Relativity and Quantum Cosmology
2009-10-28 v2
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-Nordstr\"om spacetimes in double null coordinates.
Keywords
Cite
@article{arxiv.gr-qc/9606022,
title = {Ill-posedness of a double null free evolution scheme for black hole spacetimes},
author = {Carsten Gundlach and Jorge Pullin},
journal= {arXiv preprint arXiv:gr-qc/9606022},
year = {2009}
}
Comments
5 pages, RevTeX, 1 figure, changes in introduction, title and conclusions, figure added, to appear in Classical and Quantum Gravity