Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/7667
Title: The classification of the Ricci and Plebański tensors in general relativity using Newman–Penrose formalism
Authors: Mclntosh, CBG
Foyster, JM
Lun, AWC
Keywords: Tensor methods
General relativity
Issue Date: Nov-1981
Publisher: American Institute of Physics
Source: Journal of mathematical physics, Nov. 1981, v. 22, no. 11, p. 2620-2623 How to cite?
Journal: Journal of mathematical physics 
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.)
URI: http://hdl.handle.net/10397/7667
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

Files in This Item:
File Description SizeFormat 
Mcintosh_classification_ricci_plebański.pdf416.07 kBAdobe PDFView/Open
Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

16
Last Week
0
Last month
1
Citations as of Aug 22, 2017

WEB OF SCIENCETM
Citations

25
Last Week
0
Last month
0
Citations as of Aug 20, 2017

Page view(s)

137
Last Week
0
Last month
Checked on Aug 20, 2017

Download(s)

89
Checked on Aug 20, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.