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

Record type: Article

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.

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Citation

Gundlach, Carsten and Pullin, Jorge (1997) Ill-posedness of a double-null free-evolution scheme for black hole spacetimes Classical and Quantum Gravity, 14, (4), pp. 991-997. (doi:10.1088/0264-9381/14/4/014).

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Published date: 1997

Identifiers

Local EPrints ID: 29174
URI: http://eprints.soton.ac.uk/id/eprint/29174
ISSN: 0264-9381
PURE UUID: 0f92fa09-57e6-4e69-85bf-4e0939ae0ad8

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Date deposited: 06 Feb 2007
Last modified: 17 Jul 2017 15:58

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Author: Jorge Pullin

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