https://doi.org/10.1140/epjp/i2014-14179-x
Regular Article
An optimal system and invariant solutions of dark energy models in cylindrically symmetric space-time
1
KCC Institute of Technology and Management, 201306, Greater Noida, India
2
Faculty of Science, Department of Mathematics, King Abdul Aziz University, PO Box 80203, 21589, Jeddah, Saudi Arabia
3
Mathematics Department, Faculty of Science, Al-Azhar University, 11884, Nasr city, Cairo, Egypt
* e-mail: abanilyadav@yahoo.co.in
Received:
2
June
2014
Revised:
21
July
2014
Accepted:
21
July
2014
Published online:
22
August
2014
In this paper, we derive some new invariant solutions of dark energy models in cylindrically symmetric space-time. To quantify the deviation of pressure from isotropy, we introduce three different time-dependent skewness parameters along the spatial directions. The matter source consists of dark energy which is minimally interacting with perfect fluid. We use the symmetry analysis method for solving the non-linear partial differential equations (NLPDEs), which is more powerful than the classical methods of solving NLPDEs. The geometrical and kinematical features of the models and the behaviour of the anisotropy of dark energy are examined in detail.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014
