Gravitational Degrees of Freedom and the Initial-Value Problem

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Es wird gezeigt, dass für jede raumartige Drei-Geometrie ein symmetrischer Tensor existiert, der (1) lokal definiert ist, und zwar nur unter Verwendung der Drei-Metrik und ihrer Ableitungen, (2) konform invariant ist, (3) spurlos ist und (4) kovariant divergierenfrei ist ("transversal"). Infolgedessen können die beliebig spezifizierbaren (unbeschränkten) Anfangswertdaten im Anfangswertproblem von Einstein für die Gravitation vollständig durch ein Paar symmetrischer, transversaler, spurloser Tensoren charakterisiert werden.

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James W. York

University of North Carolina at Chapel Hill

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Physical Review Letters

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Princeton University

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James W. York (Mon,) hat diese Frage untersucht.

synapsesocial.com/papers/6a0f58695725bbd5cc5faf5a — DOI: https://doi.org/10.1103/physrevlett.26.1656

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Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

On the positive definite mass of the Bondi-Weber-Wheeler time-symmetric gravitational waves· 1959 · 239 citations
The theory of gravitation in Hamiltonian form· 1958 · 643 citations
Gravitation, an introduction to current research· 1963 · 1,961 citations
Quantum Theory of Gravity. I. The Canonical Theory· 1967 · 3,361 citations
Fixation of Coordinates in the Hamiltonian Theory of Gravitation· 1959 · 491 citations

Gravitational Degrees of Freedom and the Initial-Value Problem

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