Comparing initial-data sets for binary black holes
Abstract
We compare the results of constructing binary black hole initial data with three different decompositions of the constraint equations of general relativity. For each decomposition we compute the initial data using a superposition of two Kerr-Schild black holes to fix the freely specifiable data. We find that these initial-data sets differ significantly, with the ADM energy varying by as much as 5% of the total mass. We find that all initial-data sets currently used for evolutions might contain unphysical gravitational radiation of the order of several percent of the total mass. This is comparable to the amount of gravitational-wave energy observed during the evolved collision. More astrophysically realistic initial data will require more careful choices of the freely specifiable data and boundary conditions for both the metric and extrinsic curvature. However, we find that the choice of extrinsic curvature affects the resulting data sets more strongly than the choice of conformal metric.
Additional Information
© 2002 The American Physical Society. Received 25 March 2002; published 31 July 2002. We thank Lawrence Kidder, Mark Scheel, and James York for helpful discussions. This work was supported in part by NSF grants PHY-9800737 and PHY-9900672 to Cornell University, and by NSF grant PHY-9988581 to Wake Forest University. Computations were performed on the IBM SP2 of the Department of Physics, Wake Forest University, with support from an IBM SUR grant.Attached Files
Published - PhysRevD.66.024047.pdf
Accepted Version - 0203085.pdf
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Additional details
- Eprint ID
- 86805
- Resolver ID
- CaltechAUTHORS:20180605-144741747
- PHY-9800737
- NSF
- PHY-9900672
- NSF
- PHY-9988581
- NSF
- IBM
- Created
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2018-06-05Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field