Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries

Muhammad Ziad

doi:10.1142/9789814623995_0293

Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries

Muhammad Ziad^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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
Title of host publication	On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
Editors	Robert T. Jantzen, Kjell Rosquist, Remo Ruffini, Remo Ruffini
Publisher	World Scientific
Pages	1837-1839
Number of pages	3
ISBN (Print)	9789814612142
DOIs	https://doi.org/10.1142/9789814623995_0293
Publication status	Published - 2015
Externally published	Yes
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

Publication series

Name	The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012
Volume	0

Other

Other	13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012
Country/Territory	Sweden
City	Stockholm
Period	7/1/15 → 7/7/15

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1142/9789814623995_0293

Cite this

Ziad, M. (2015). Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries. In R. T. Jantzen, K. Rosquist, R. Ruffini, & R. Ruffini (Eds.), On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories (pp. 1837-1839). (The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012; Vol. 0). World Scientific. https://doi.org/10.1142/9789814623995_0293

Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries. / Ziad, Muhammad.
On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. ed. / Robert T. Jantzen; Kjell Rosquist; Remo Ruffini; Remo Ruffini. World Scientific, 2015. p. 1837-1839 (The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012; Vol. 0).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ziad, M 2015, Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries. in RT Jantzen, K Rosquist, R Ruffini & R Ruffini (eds), On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012, vol. 0, World Scientific, pp. 1837-1839, 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012, Stockholm, Sweden, 7/1/15. https://doi.org/10.1142/9789814623995_0293

Ziad M. Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries. In Jantzen RT, Rosquist K, Ruffini R, Ruffini R, editors, On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. World Scientific. 2015. p. 1837-1839. (The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012). doi: 10.1142/9789814623995_0293

Ziad, Muhammad. / Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries. On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. editor / Robert T. Jantzen ; Kjell Rosquist ; Remo Ruffini ; Remo Ruffini. World Scientific, 2015. pp. 1837-1839 (The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012).

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Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries

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