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Some canonical forms for the metric of spacetimes admitting a rational first integral of the geodesic equation

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Abstract

Canonical forms are obtained for the metrics of space-times admitting a surface generating Killing pair, one member of which is hypersurface orthogonal.

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References

  1. Collinson, C. D. (1986).Gen. Rel. Grav. 18, 207.

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  2. Woodhouse, N. M. (1975).Commun. Math. Phys. 44, 9.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade do Minho, Braga, Portugal

    E. G. L. R. Vaz

  2. Department of Applied Mathematics, University of Hull, Hull, UK

    C. D. Collinson

Authors
  1. E. G. L. R. Vaz
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  2. C. D. Collinson
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Vaz, E.G.L.R., Collinson, C.D. Some canonical forms for the metric of spacetimes admitting a rational first integral of the geodesic equation. Gen Relat Gravit 24, 405–418 (1992). https://doi.org/10.1007/BF00760416

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  • DOI: https://doi.org/10.1007/BF00760416

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