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

Graham Stanley Hall; Muhammad Sharif

doi:10.1393/ncb/i2004-10050-9

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

Graham Stanley Hall, Muhammad Sharif

Mathematical Science

Research output: Contribution to journal › Article › peer-review

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

Original language	English
Pages (from-to)	97-100
Number of pages	3
Journal	Nuovo Cimento della Società Italiana di Fisica. B
Volume	119
Issue number	1
DOIs	https://doi.org/10.1393/ncb/i2004-10050-9
Publication status	Published - 2004

Keywords

GENERAL-RELATIVITY

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AB - 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.

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JF - Nuovo Cimento della Società Italiana di Fisica. B

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

Abstract

Keywords

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