Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries

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Abstract

The Ricci collineations equations are solved for the plane symmetric Lorentzian manifolds admitting six isometries and the dimensions of Lie algebras of Ricci collineations, dimRC(M) found. There appeared 11 space-time metrics, admitting six isometries. For the one group of 6 metrics, similar to the Bertoti-Robinson type metrics, dimRC(M) is infinite, whereas for the others, dimRC(M) is 6, identical to isometries.

Original languageEnglish
Title of host publicationOn Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
PublisherWorld Scientific
Pages1837-1839
Number of pages3
Edition210699
ISBN (Print)9789814612142
DOIs
Publication statusPublished - Jan 1 2015
Event13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012 - Stockholm, Sweden
Duration: Jul 1 2015Jul 7 2015

Other

Other13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012
CountrySweden
CityStockholm
Period7/1/157/7/15

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Ziad, M. (2015). Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries. In On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories (210699 ed., pp. 1837-1839). World Scientific. https://doi.org/10.1142/9789814623995_0293