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Finding Integrals and Identities in the Newman–Penrose Formalism: a Comment

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Abstract

The goal of the present short letter is to prove, through a specific example (i.e., the class of Ricci-flat, Petrov type D geometries), that the original Newman-Penrose (NP) formalism, seen as an exterior differential system (EDS), suffices to provide the needed syzygies and integrals of the EDS under consideration—without (in principle) the aid of a computer algebra system (CAS).

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Notes

  1. For instance, via an extended study of the geodesics on Kerr geometries—see [3] and also references in [4].

  2. For applications in general relativity, see [9, 10].

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Authors and Affiliations

  1. National & Kapodistrian University of Athens, Department of Physics, Nuclear & Particle Physics Section, Panepistimioupolis, Ilisia GR 157–71, Athens, Greece

    G. O. Papadopoulos

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  1. G. O. Papadopoulos
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Correspondence to G. O. Papadopoulos.

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Papadopoulos, G.O. Finding Integrals and Identities in the Newman–Penrose Formalism: a Comment. Gravit. Cosmol. 26, 124–127 (2020). https://doi.org/10.1134/S0202289320020097

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  • DOI: https://doi.org/10.1134/S0202289320020097

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