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 language | English |
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| Title of host publication | On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories |
| Publisher | World Scientific |
| Pages | 1837-1839 |
| Number of pages | 3 |
| Edition | 210699 |
| ISBN (Print) | 9789814612142 |
| DOIs | |
| Publication status | Published - Jan 1 2015 |
| Event | 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012 - Stockholm, Sweden Duration: Jul 1 2015 → Jul 7 2015 |
Other
| Other | 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012 |
|---|---|
| Country | Sweden |
| City | Stockholm |
| Period | 7/1/15 → 7/7/15 |
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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