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2018, no. 1

UNIFIED TREATMENT OF FIELDS OF DIFFERENT SPINS IN TYPE N METRICS

Kulitskii A.V.

Based on a qualitative analysis of the field equations of different spins on the curved nonvacuum background pp-wave metrics of Petrov type N, the separation of the variables of the spinor, vector and tensor fields was made, the solution for the field components in terms of the Debye potentials was constructed. It is demonstrated that a universal equation of the Teukolsky type can be constructed not only for the case of metrics of type D with zero energy-momentum tensor, but also for non-vacuum metrics of type N.

Keywords: separation of variables, plane wave metric, Newman-Penrose formalism, Debye potentials, universal equation.

UDC: 517.917

PACS: 34D08, 93C15

DOI: 10.17238/issn2226-8812.2018.1.13-20

Please cite this article in English as:
Kulitskii A. V. Unified treatment of fields of different spins in type N metrics. Space, Time and Fundamental Interactions, 2018, no. 1, pp. 1320.