Phys. Rev. Lett. 26, 1656–1658 (1971)Gravitational Degrees of Freedom and the Initial-Value ProblemReceived 29 April 1971; published in the issue dated 28 June 1971 It is shown that for every spacelike three-geometry there exists a symmetric tensor that is (1) defined locally using only the three-metric and its derivatives, (2) conformally invariant, (3) traceless, and (4) covariantly divergence free ("transverse"). As a result, the arbitrarily specifiable (unconstrained) initial-value data in the Einstein initial-value problem for gravity can be completely characterized by a pair of symmetric, transverse, traceless tensors. © 1971 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.26.1656
DOI:
10.1103/PhysRevLett.26.1656
PACS:
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