Conformal Ricci Collineations of Static Space–Times with Maximal Symmetric Transverse Spaces
- Authors: Hussain T.1, Khan F.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 198, No 3 (2019)
- Pages: 463-474
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/172166
- DOI: https://doi.org/10.1134/S0040577919030097
- ID: 172166
Cite item
Abstract
We explore conformal Ricci collineations (CRCs) for static space–times with maximal symmetric transverse spaces. Solving the CRC equations in the degenerate and nondegenerate cases, we show that the dimension of the Lie algebra of CRCs for these space–times can be 6, 7, or 15 for a nondegenerate Ricci tensor, while a degenerate Ricci tensor produces an infinite number of CRCs.
About the authors
T. Hussain
Department of Mathematics
Author for correspondence.
Email: tahirhussain@uop.edu.pk
Pakistan, Khyber Pakhtunkhwa
F. Khan
Department of Mathematics
Email: tahirhussain@uop.edu.pk
Pakistan, Khyber Pakhtunkhwa
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