David Garfinkle and Carsten Gundlach 1999 Class. Quantum Grav. 16 4111 doi:10.1088/0264-9381/16/12/325
Symmetry-seeking spacetime coordinates
David Garfinkle
and Carsten Gundlach
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.
- PACS
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04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
- MSC
- Subjects
- Dates
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Issue 12 (December 1999)
Received 9 August 1999
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Symmetry-seeking spacetime coordinates
David Garfinkle and Carsten Gundlach 1999 Class. Quantum Grav. 16 4111
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