Conformal Ricci collineations of static space--times with maximal symmetric transverse spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 532-544
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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.
@article{TMF_2019_198_3_a8,
author = {T. Hussain and F. Khan},
title = {Conformal {Ricci} collineations of static space--times with maximal symmetric transverse spaces},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {532--544},
publisher = {mathdoc},
volume = {198},
number = {3},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a8/}
}
TY - JOUR AU - T. Hussain AU - F. Khan TI - Conformal Ricci collineations of static space--times with maximal symmetric transverse spaces JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2019 SP - 532 EP - 544 VL - 198 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a8/ LA - ru ID - TMF_2019_198_3_a8 ER -
%0 Journal Article %A T. Hussain %A F. Khan %T Conformal Ricci collineations of static space--times with maximal symmetric transverse spaces %J Teoretičeskaâ i matematičeskaâ fizika %D 2019 %P 532-544 %V 198 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a8/ %G ru %F TMF_2019_198_3_a8
T. Hussain; F. Khan. Conformal Ricci collineations of static space--times with maximal symmetric transverse spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 532-544. http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a8/