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Killing pairs constructed from a recurrent vector field

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Abstract

Killing pairs are investigated under the assumption that one member of the pair is a known recurrent vector field. This reduces the equation determining the other member of the pair to a linear equation. The conditions for such a Killing pair to exist are obtained for a well known class of spacetimes admitting a recurrent vector field.

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Authors and Affiliations

  1. School of Mathematics, University of Hull, HU6 7RX, Hull, UK

    C. D. Collinson

  2. Departamento de Matemática, Universidade do Minho, Campus de Gualtar, 4710, Braga, Portugal

    E. G. L. R. Vaz

Authors
  1. C. D. Collinson
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  2. E. G. L. R. Vaz
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Collinson, C.D., Vaz, E.G.L.R. Killing pairs constructed from a recurrent vector field. Gen Relat Gravit 27, 751–759 (1995). https://doi.org/10.1007/BF02105321

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  • DOI: https://doi.org/10.1007/BF02105321

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