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Symmetry-seeking spacetime coordinates

Symmetry-seeking spacetime coordinates
Symmetry-seeking spacetime coordinates
In numerically constructing a spacetime that has an approximate timelike Killing vector, it is useful to choose spacetime coordinates adapted to the symmetry, so that the metric and matter variables vary only slowly with time in these coordinates. In particular, this is a crucial issue in numerically calculating a binary black hole inspiral. An approximate homothetic vector plays a role in critical gravitational collapse. We summarize old and new suggestions for finding such coordinates from a general point of view. We then test some of these in various toy models with spherical symmetry, including critical fluid collapse and critical scalar field collapse.
0264-9381
4111-4123
Garfinkle, D.
104e7320-3176-414d-94bc-e5d473cf8bce
Gundlach, C.
586f1eb5-3185-4b2b-8656-c29c436040fc
Garfinkle, D.
104e7320-3176-414d-94bc-e5d473cf8bce
Gundlach, C.
586f1eb5-3185-4b2b-8656-c29c436040fc

Garfinkle, D. and Gundlach, C. (1999) Symmetry-seeking spacetime coordinates. Classical and Quantum Gravity, 16 (12), 4111-4123. (doi:10.1088/0264-9381/16/12/325).

Record type: Article

Abstract

In numerically constructing a spacetime that has an approximate timelike Killing vector, it is useful to choose spacetime coordinates adapted to the symmetry, so that the metric and matter variables vary only slowly with time in these coordinates. In particular, this is a crucial issue in numerically calculating a binary black hole inspiral. An approximate homothetic vector plays a role in critical gravitational collapse. We summarize old and new suggestions for finding such coordinates from a general point of view. We then test some of these in various toy models with spherical symmetry, including critical fluid collapse and critical scalar field collapse.

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More information

Published date: 1999
Additional Information: nonValidatingUrl:doi:10.1088/0264-9381/16/12/325
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Identifiers

Local EPrints ID: 29183
URI: https://eprints.soton.ac.uk/id/eprint/29183
ISSN: 0264-9381
PURE UUID: d609dc05-41ea-4814-9618-ac91c4b4a019
ORCID for C. Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

Catalogue record

Date deposited: 20 Jul 2006
Last modified: 20 Jul 2018 00:34

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