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Uniqueness of the metric from the Weyl and energy-momentum tensors (1987)

Hall, G. S. ; Rendall, A. D.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 28 (1987), S. 1837-1839

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: It is shown that for a general space-time in Einstein's theory (with the term "general'' being precisely defined) the Weyl tensor and energy-momentum tensor determine the metric up to a constant conformal factor. One of the conclusions may be interpreted as a generalization of the well-known Brinkmann theorem characterizing pp waves in vacuo.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.527443

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