Classification of LRS Bianchi Type I Spacetime through Its Conformal Killing Vector Fields

Authors

  • Suhail Khan
  • Syed Zaheer Ullah
  • M. Ramzan
  • Muhammad Ayaz

Abstract

In this paper, we investigate Conformal Killing Vector Fields (CKVFs) of
Locally Rotationally Symmetric (LRS) Bianchi type I spacetime. Ten conformal
Killing equations and the CKVF components having unknown functions of
integration are derived. Specific solutions of these conformal Killing equations are
subject to the twelve integrability conditions. Integrability conditions are solved
completely in different cases and CKVFs of dimensions four, five and six are
obtained along with their conformal factors. In each case, the exact form of the
metric which admits CKVFs is obtained. The inheriting CKVFs are obtained. It is
also shown that a particular vacuum solution of LRS Bianchi type I spacetime does
not admit proper homothetic or proper CKVF.

Keywords: Conformal symmetries, Direct integration technique, Particular solutions

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Published

2025-04-24

How to Cite

Khan, S., Ullah, S. Z., Ramzan, M., & Ayaz, M. (2025). Classification of LRS Bianchi Type I Spacetime through Its Conformal Killing Vector Fields. Jordan Journal of Physics, 12(2). Retrieved from https://jjp.yu.edu.jo/index.php/jjp/article/view/796

Issue

Vol. 12 No. 2 (2019)

Section

Articles