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Title: | The classification of the Ricci and Plebański tensors in general relativity using Newman–Penrose formalism | Authors: | Mclntosh, CBG Foyster, JM Lun, AWC |
Issue Date: | Nov-1981 | Source: | Journal of mathematical physics, Nov. 1981, v. 22, no. 11, p. 2620-2623 | Abstract: | A list is given of a canonical set of the Newman–Penrose quantities Ф[sub AB], the tetrad components of the trace‐free Ricci tensor, for each Plebański class according to Plebań ski’s classification of this tensor. This comparative list can easily be extended to cover the classification in tetrad language of any second‐order, trace‐free, symmetric tensor in a space‐time. A fourth‐order tensor which is the product of two such tensors was defined by Plebański and used in his classification. This has the same symmetries as the Weyl tensor. The Petrov classification of this tensor, here called the Plebański tensor, is discussed along with the classification of the Ricci tensor. The use of the Plebański tensor in a couple of areas of general relativity is also briefly discussed. (See Article file for details of the abstract.) | Keywords: | Tensor methods General relativity |
Publisher: | American Institute of Physics | Journal: | Journal of mathematical physics | ISSN: | 0022-2488 (print) 1089-7658 (online) |
DOI: | 10.1063/1.524840 | Rights: | © 1981 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in C.B.G. Mclntosh et al., J. Math. Phys., 22, 2620 (1981) and may be found at http://link.aip.org/link/?jmp/22/2620 |
Appears in Collections: | Journal/Magazine Article |
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Mcintosh_classification_ricci_plebański.pdf | 416.07 kB | Adobe PDF | View/Open |
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