https://doi.org/10.1140/epjp/i2012-12130-y
Regular Article
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
* e-mail: shabbir@giki.edu.pk
Received:
20
March
2012
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