The classification of static plane-symmetric spacetimes

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Taub (in General Relativity. edited by L. O' Raifeartaigh (Clarenlon Press) 1972, p. 133) discussed the plane-symmetric similarity solutions for selfgravitating fluids. Hall and Steelc (Grn. Rclat Gravit , 22 (1990) 457) investigated space-times admitting a proper homothety vector field upto their Segre and Petrov tvpos. Here a complete classification of static plane-symmetric spacetimes according to their isometrie;-. (homotheties) and metrics is provided, without imposing any restriction on the stress-energy tensor. It turns out that these sapacetimes admit Gr (r =4. 5.6. 7, 10) as the maximal isometry groups whereas their homothety groups are Hm (m = 5. 7 11). In each case the metric along with their Killing (homothety) vector fields are obtained. The Einstein Held equations are then used to discuss the stress energy tensors of the spHcrtimes admitting higher symmetries along with their Segre and Plebanski types and finally results are compared with those of Taub. Hall and Stoele.

Original languageEnglish
Pages (from-to)683-692
Number of pages10
JournalII Nuovo Cimento B Series 11
Volume114
Issue number6
Publication statusPublished - 1999

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tensors
Einstein equations
relativity
constrictions
energy
fluids
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

The classification of static plane-symmetric spacetimes. / Ziad, M.

In: II Nuovo Cimento B Series 11, Vol. 114, No. 6, 1999, p. 683-692.

Research output: Contribution to journalArticle

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