General Relativity and Gravitation

, Volume 24, Issue 5, pp 477–500

Finding isometry groups in theory and practice


  • Marcelo E. Araujo
    • Departamento de MatemáticaUniversidade de Brasília
  • Tevian Dray
    • Department of MathematicsOregon State University
  • James E. F. Skea
    • School of Mathematical SciencesQueen Mary and Westfield College
Research Articles

DOI: 10.1007/BF00760132

Cite this article as:
Araujo, M.E., Dray, T. & Skea, J.E.F. Gen Relat Gravit (1992) 24: 477. doi:10.1007/BF00760132


An algorithm is given for determining the isometry group of an arbitrary spacetime (in four dimensions). Numerous examples are given and the partial implementation of this algorithm using the symbolic manipulation package CLASSI is discussed.

Copyright information

© Plenum Publishing Corporation 1992