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

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.

PACS: 04.20.Jb

Received: 15.01.2018
Revised: 05.06.2018

DOI: 10.4213/tmf9530

 English version: Theoretical and Mathematical Physics, 2019, 198:3, 463–474

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