1654-9163 (print) ISSN 2001-7235 (online)
The Abraham Zelmanov Journal
The journal for General Relativity, gravitation and cosmology
The Classification of Spaces Determining the Fields of Gravitation
In this paper written in 1954 Alexei Petrov describes his famous classification of spaces according to the algebraical structure of the curvature tensor, that determines the classes of the gravitational fields permitted therein. Now this classification of spaces (and, respectively, of the gravitational fields) is known as Petrov's classification. This paper was originally published, in Russian, in Scientific Transactions of Kazan State University: Petrov A. Z. Klassifikazija prostranstv, opredelajuschikh polja tjagotenia. Uchenye Zapiski Kazanskogo Gosudarstvennogo Universiteta, 1954, vol.114, book 8, pages 55-69. Translated from Russian in 2008 by Vladimir Yershov, England-Pulkovo.
Ref: The Abraham Zelmanov Journal, 2008, volume 1, pages 81-98
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