The classification of plane symmetric spacetimes by isometries

Tooba Feroze; Asghar Qadir; M. Ziad

doi:10.1063/1.1385175

The classification of plane symmetric spacetimes by isometries

Tooba Feroze^*, Asghar Qadir, M. Ziad

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

63 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. G_r (where r = 3,4,5,6,7 and 10) containing SO(2)(x ℝ², the minimal symmetry inherited by the plane symmetric manifolds.

Original language	English
Pages (from-to)	4947-4955
Number of pages	9
Journal	Journal of Mathematical Physics
Volume	42
Issue number	10
DOIs	https://doi.org/10.1063/1.1385175
Publication status	Published - Oct 2001
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1385175

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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.",

author = "Tooba Feroze and Asghar Qadir and M. Ziad",

year = "2001",

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The classification of plane symmetric spacetimes by isometries

Abstract

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