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2023, no. 1

BENENTI-FRANCAVIGLIA SEPARABILITY AND PETROV TYPES

Galtsov D.V., Kulitskii A.V.

Benenti and Francavilla (BF) proposed a class of metrics with two commuting Killing vectors for which there exists an irreducible Killing tensor of the second rank and the geodesic equations are integrable. This class admits a non-trivial Ricci tensor and generically is not algebraically special. We find an additional condition on the BF class, under which the metrics admit isotropic geodesic and shear-free congruences, and belong either to the general Petrov type I or to type D, but not to type II. The corresponding Killing tensors have only two nonzero Newman-Penrose projections. This subclass includes black holes with the Newman-Unti-Tamburino (NUT) parameter, in the N=4 supergravity.

Keywords: black holes, Killing tensors, Petrov type, Newman-Penrose formalism.

UDC: 517.917

PACS: 34D08, 93C15

DOI: 10.17238/issn2226-8812.2023.1.3135

Please cite this article in English as:
Galtsov D.V., Kulitskii A.V. Benenti-Francaviglia separability and Petrov types. Space, Time and Fundamental Interactions, 2023, no. 1, pp. 3135.