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Ricci Collineations of the Bianchi Type II, VIII, and IX Space-times

İ Yavuz·U. Camcı
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Abstract

Ricci and contracted Ricci collineations of the Bianchi type II, VIII, and IX space-times, associated with the vector fields of the form (i) one component of $ξ^a(x^b)$ is different from zero and (ii) two components of $ξ^a(x^b)$ are different from zero, for $a,b=1,2,3,4$, are presented. In subcase (i.b), which is $ξ^a= (0,ξ^2(x^a),0,0)$, some known solutions are found, and in subcase (i.d), which is $ξ^a =(0,0,0,ξ^4(x^a))$, choosing $S(t)=const.\times R(t)$, the Bianchi type II, VIII, and IX space-times is reduced to the Robertson-Walker metric.

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İ Yavuz, U. Camcı. 2000-01-03. Ricci Collineations of the Bianchi Type II, VIII, and IX Space-times. https://doi.org/10.1007/bf02104835

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