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Ricci Flat 4-Metrics with Bidimensional Null Orbits

Part I. General Aspects and Nonabelian Case

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An Erratum to this article was published on 11 October 2006

Abstract

Pseudo-Riemannian \(4\)-metrics with bidimensional null Killing orbits are studied. Both Lorentzian and Kleinian (or neutral) cases, are treated simultaneously. Under the assumption that the distribution orthogonal to the orbits is completely integrable a complete exact description of Ricci flat metrics admitting a bidimensional nonabelian Killing algebra is found.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Milano, Via C. Saldini 50, 20133, Milano, Italy

    D. Catalano Ferraioli

  2. Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte don Melillo, 84084, Fisciano (SA), Italy

    A. M. Vinogradov

Authors
  1. D. Catalano Ferraioli
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  2. A. M. Vinogradov
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Correspondence to D. Catalano Ferraioli.

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An erratum to this article can be found at http://dx.doi.org/10.1007/s10440-006-9075-9

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Ferraioli, D.C., Vinogradov, A.M. Ricci Flat 4-Metrics with Bidimensional Null Orbits. Acta Appl Math 92, 209–239 (2006). https://doi.org/10.1007/s10440-006-9022-9

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  • DOI: https://doi.org/10.1007/s10440-006-9022-9

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