Proper projective symmetry in special non-static plane symmetric Lorentzian manifolds
Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, Khyber Pukhtoonkhwa, Pakistan
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Revised: 26 September 2012
Accepted: 1 October 2012
Published online: 30 October 2012
In this paper a study on proper projective symmetry in special non-static plane symmetric space-times is given by using real eigenvalues and eigenbivectors of the Riemann tensor, direct integration and algebraic techniques. It is shown that when the above space-times admit proper projective collineations they become a very special class of spacelike or timelike version of the FRW k = 0 model.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2012