The determination of the metric by the Weyl and energy-momentum tensors

Graham Stanley Hall, Muhammad Sharif

Research output: Contribution to journalArticlepeer-review


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. PACS 04.20. -q - Classical general relativity. PACS 11. 10. -z - Field theory.

Original languageEnglish
Pages (from-to)97-100
Number of pages3
JournalNuovo Cimento della Società Italiana di Fisica. B
Issue number1
Publication statusPublished - 2004



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