RICCI and Matter Collineations of SOM-ROY Chaudhary Symmetric Space Time

  • Muhammad Ramzan Department of Mathematics,The Islamia University of Bahawalpur, Bahawalpur
  • Yaqoob Ahmad Department of Mathematics,The Islamia University of Bahawalpur, Bahawalpur
  • Muhammad Rafiq Mufti Department of Computer Science,COMSATS Institute of Information Technology, Vehari, Pakistan.

Abstract

This paper is devoted to explore the RICCI and MCs (Matter Collineations of the Som-Ray Chaudhary spacetime. The spacetime under consideration is one of the spatially homogeneous and rotating spacetimes. Collineations are the some kinds of the Lie symmetries. To discuss the required collineations we have used the RICCI and energy momentum tensors. As the RICCI tensor is formulated from the metric tensor, it must possess its symmetries. RCs (RICCI Collineations) leads to conservation laws. On the other hand for the distribution of matter in the spacetimes, the symmetries of energy momentum tensor or MCs provides conservation laws on matter field. Throughout this paper, these collineations are discussed by vanishing Lie derivative of RICCI and energy momentum tensors respectively. Complete solution of the RCs and MCs equations, which are formed in the result of vanishing Lie derivative are explored. Studying all these collineations in the said spacetime, it has been shown that RCs of the spacetime form an infinite dimensional vector space where as MCs are Killing vector fields.

Published
Apr 1, 2018
How to Cite
RAMZAN, Muhammad; AHMAD, Yaqoob; MUFTI, Muhammad Rafiq. RICCI and Matter Collineations of SOM-ROY Chaudhary Symmetric Space Time. Mehran University Research Journal of Engineering and Technology, [S.l.], v. 37, n. 2, p. 315-318, apr. 2018. ISSN 2413-7219. Available at: <http://publications.muet.edu.pk/index.php/muetrj/article/view/200>. Date accessed: 15 july 2018. doi: http://dx.doi.org/10.22581/muet1982.1802.07.
Section
Articles
This is an open Access Article published by Mehran University of Engineering and Technolgy, Jamshoro under CCBY 4.0 International License