Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-03-25
Phys.Rev. D66 (2002) 024047
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, 12 figures, accepted for publication in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.66.024047
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.
Cook Gregory B.
Pfeiffer Harald P.
Teukolsky Saul A.
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