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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 198, Number 3, Pages 532–544
DOI: https://doi.org/10.4213/tmf9530 (Mi tmf9530) 		 
Conformal Ricci collineations of static space–times with maximal symmetric transverse spaces

T. Hussain, F. Khan

Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan
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DOI: https://doi.org/10.4213/tmf9530
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.
Keywords: conformal Ricci collineation, Ricci collineation, static space–time with a maximal symmetric transverse space.
Funding agency Grant number
Higher Education Commission of Pakistan NRPU 8268 (2017)
This research was supported by the Higher Education Commission of Pakistan (NRPU Project No. 8268 2017).
Received: 15.01.2018
Revised: 05.06.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 198, Issue 3, Pages 463–474
DOI: https://doi.org/10.1134/S0040577919030097
Bibliographic databases:
Document Type: Article
PACS: 04.20.Jb
Language: Russian
Citation: T. Hussain, F. Khan, “Conformal Ricci collineations of static space–times with maximal symmetric transverse spaces”, TMF, 198:3 (2019), 532–544; Theoret. and Math. Phys., 198:3 (2019), 463–474
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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