TY - GEN
T1 - Ricci collineations of plane symmetric lorentzian manifolds admitting six isometries
AU - Ziad, Muhammad
N1 - Funding Information:
This work was undertaken under the internal grant IG/SCI/DOMS/10/01 by Sultan Qaboos University. Travel grant by Sultan Qaboos University to present the work in MG13, Stockholm, is gratefully acknowledged.
Publisher Copyright:
© 2015, World Scientific. All rights reserved.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
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U2 - 10.1142/9789814623995_0293
DO - 10.1142/9789814623995_0293
M3 - Conference contribution
AN - SCOPUS:85045321650
SN - 9789814612142
T3 - 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
SP - 1837
EP - 1839
BT - On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
A2 - Jantzen, Robert T.
A2 - Rosquist, Kjell
A2 - Ruffini, Remo
A2 - Ruffini, Remo
PB - World Scientific
T2 - 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012
Y2 - 1 July 2015 through 7 July 2015
ER -