Local transverse-traceless tensor operators in general relativity
- 1 September 1981
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 22 (9) , 1994-2000
- https://doi.org/10.1063/1.525146
Abstract
Two flat-space transverse-traceless tensor operators can be used to construct initial data for numerical solutions of the gravitational field equations. One of these operators is related to the conformal curvature 3-tensor and is shown to exist in a large class of nonflat 3-spaces. The second operator enjoys no such liberty. Important applications to gravitational wave scattering are suggested. It is argued that the number of operators available on a particular 3-space is related to the number of gravitational field modes that are excited in the space.Keywords
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