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arXiv · gr-qc/0403117

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

G. S. Hall·M. Sharif
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Abstract

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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G. S. Hall, M. Sharif. 2004-03-31. The Determination of the Metric by the Weyl and Energy-Momentum Tensors. https://doi.org/10.1393/ncb%2Fi2004-10050-9

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