A technique for analyzing the structure of isometries

Abhay Ashtekar, Anne Magnon-Ashtekar

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

A new technique is introduced to investigate the structure of isometry Lie algebras. Some general results are first proved by applying this technique to n-dimensional manifolds equipped with metrics of arbitrary signature. A restriction is then made to 3-manifolds representing the space of orbits of the timelike Killing field in stationary space-times. Under the assumption of asymptotic flatness at spatial infinity, a complete description of isometry Lie algebras of these 3-manifolds is obtained. As corollaries, several results about symmetries of stationary isolated systems in general relativity are proved.

Original languageEnglish (US)
Pages (from-to)1567-1572
Number of pages6
JournalJournal of Mathematical Physics
Volume19
Issue number7
DOIs
StatePublished - 1977

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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