The classification of plane symmetric spacetimes by isometries

Tooba Feroze*, Asghar Qadir, M. Ziad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

59 Citations (Scopus)

Abstract

A complete classification of plane symmetric Lorentzian manifolds according to their additional isometries and metrics (or classes of metrics) is obtained by solving the Killing equations. We obtain all metrics (or classes of metrics), that admit the group of motions. Gr (where r = 3,4,5,6,7 and 10) containing SO(2)(x ℝ2, the minimal symmetry inherited by the plane symmetric manifolds.

Original languageEnglish
Pages (from-to)4947-4955
Number of pages9
JournalJournal of Mathematical Physics
Volume42
Issue number10
DOIs
Publication statusPublished - Oct 2001
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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