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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
Ill-posedness of a double-null free-evolution scheme for black hole spacetimes
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.
0264-9381
991-997
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Pullin, Jorge
4c0fa15e-1ba7-49c4-bfc6-f46944951a9f
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Pullin, Jorge
4c0fa15e-1ba7-49c4-bfc6-f46944951a9f

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), 991-997. (doi:10.1088/0264-9381/14/4/014).

Record type: Article

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.

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Published date: 1997

Identifiers

Local EPrints ID: 29174
URI: https://eprints.soton.ac.uk/id/eprint/29174
ISSN: 0264-9381
PURE UUID: 0f92fa09-57e6-4e69-85bf-4e0939ae0ad8
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

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Date deposited: 06 Feb 2007
Last modified: 20 Jul 2018 00:34

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