General Relativity and Gravitation

, Volume 9, Issue 3, pp 215–225 | Cite as

A note on a family of type {3, 1} vacuum solutions with twist

  • R. A. d'Inverno
  • J. Smallwood
Research Articles


A four-parameter family of vacuum solutions of Petrov type {3, 1} possessing nonvanishing twist, which was obtained separately by A. Held and I. Robinson, is investigated. Various techniques that were reviewed in an earlier paper are employed for interpreting the coordinates. In addition, the functionally form invariant solutions of a functionally related metric are obtained, thereby enabling the Killing structure of the family to be fully analyzed.


Differential Geometry Early Paper Vacuum Solution Invariant Solution Petrov Type 
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Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • R. A. d'Inverno
    • 1
  • J. Smallwood
    • 1
  1. 1.Department of MathematicsUniversity of SouthamptonEngland

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