Research Articles

General Relativity and Gravitation

, Volume 24, Issue 5, pp 477-500

First online:

Finding isometry groups in theory and practice

  • Marcelo E. AraujoAffiliated withDepartamento de Matemática, Universidade de Brasília
  • , Tevian DrayAffiliated withDepartment of Mathematics, Oregon State University
  • , James E. F. SkeaAffiliated withSchool of Mathematical Sciences, Queen Mary and Westfield College

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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.