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2023, no. 1

ALGEBRAIC CLASSIFICATION OF THE DIFFERENTIAL CURVATURE FORM AND THE GRAVITATIONAL FIELDS

Baranov A.M.

Algebraic classification of the differential curvature form as classification of an antisymmetric matrix by analogy with electromagnetic field tensor is made in a tangent 4D space-time. Also by analogy with Petrovs algebraic classification of gravitational fields the types of such matrix are entered. Examples with concrete gravitational fields are given: the external field of Scharzschild and the gravitational plane wave.

Keywords: differential curvature form of Cartan, algebraic classifications of Petrov and electromagnetic field, Weyl and Petrov matrices of the Scharzschild solution and gravitational plane wave.

UDC: 512.13, 512.12

PACS: 04.20.-q, 04.20.Cv

DOI: 10.17238/issn2226-8812.2023.1.1620

Please cite this article in English as:
Baranov A. M. Algebraic classification of the differential curvature form and the gravitational fields. Space, Time and Fundamental Interactions, 2023, no. 1, pp. 16-20.