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arxiv: gr-qc/0403117 · v1 · pith:3SANWRZQnew · submitted 2004-03-31 · 🌀 gr-qc

The Determination of the Metric by the Weyl and Energy-Momentum Tensors

classification 🌀 gr-qc
keywords metrictensorenergy-momentumweylbriefconditionsconformalconformally
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This brief paper investigates the consequences for the metric tensor of space-time when the Weyl tensor (in its conformally invariant form) and the energy-momentum tensor is specified. It is shown that, unless rather special conditions hold, the metric is uniquely determined up to a constant conformal factor.

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