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Gravitational Degrees of Freedom and the Initial-Value Problem
Abstract
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.
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Citations
Cited by
Role of Conformal Three-Geometry in the Dynamics of Gravitation
York, J. W. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.1082 · Cited by 1,392
Self-citationQuantum gravity: a progress report
Carlip, S. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/8/301 · Cited by 449
The Cotton tensor in Riemannian spacetimes
García, A. A., Hehl, F. W., Heinicke, C., & Macías, A. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/4/024 · Cited by 148
Numerical simulations of generic singularities
Garfinkle, D. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.161101 · Cited by 130
Evolution to a smooth universe in an ekpyrotic contracting phase withw>1
Garfinkle, D., Lim, W. C., Pretorius, F., & Steinhardt, P. J. (2008) · Physical Review D · doi:10.1103/physrevd.78.083537 · Cited by 85
Metadata
- Authors
- York, J. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1971-06-28
- Volume
- 26
- Issue
- 26
- Pages
- 1656-1658
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2141830930
- Cited by
- 486
- References
- 0
- FWCI
- 6.55
- Type
- journal article
- Language
- en
- Open access
- closed
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