https://doi.org/10.1140/epjp/i2013-13130-1
Regular Article
Proper projective symmetry in Bianchi type I space-times
1
Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, KPK, Pakistan
2
School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Application, University of the Witwatersrand, Johannesburg, Wits, 2001, South Africa
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Received:
19
September
2013
Revised:
11
October
2013
Accepted:
15
October
2013
Published online:
4
November
2013
Abstract
A study of the most general form of Bianchi type I space-times is given by using the direct integration and algebraic techniques. In this study we deal with the cases where all the eigenvalues of the Riemann tensor are different. From the above study we have shown that, when the Bianchi type I space-times admit proper projective symmetry, it turns out to be a special class of flat Friedmann Robertson-Walker model.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013
