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A class of empty spacetimes admitting a rational first integral of the geodesic equation

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Abstract

The empty space field equations are solved for one of the canonical forms obtained previously by Vaz and Collinson 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. Vaz, E. G. L. R. and Collinson C. D. (1992).Gen. Rel. Grav. 24, 403.

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  3. Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge).

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Authors and Affiliations

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

    C. D. Collinson & P. J. O'Donnell

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  1. C. D. Collinson
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  2. P. J. O'Donnell
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Collinson, C.D., O'Donnell, P.J. A class of empty spacetimes admitting a rational first integral of the geodesic equation. Gen Relat Gravit 24, 451–455 (1992). https://doi.org/10.1007/BF00760419

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  • DOI: https://doi.org/10.1007/BF00760419

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