Erratum: Ricci collineations of static spherically symmetric spacetimes [J. Math. Phys. 35, 3005–3012 (1994)]

Ricci Collineations of the Bianchi Types I and Iii, and Kantowski–sachs Spacetimes

“…When studying the Lie algebra of RCs, two cases arise naturally according to whether R ab is nondegenerate, or degenerate. While the Ricci tensor must also have a noninfinite determinant, it can be zero [11]. In recent paper's of Hall et al [13], they have noticed some important results the following.…”

“…A complete classification of RCs was obtained for spherically symmetric static spacetimes [10], which were compared with KVs admitted by the corresponding spacetimes. Amir et al [11] have investigated the relationship between the RCVs and the KVs for these spacetimes in detail. Carot et al [12] have studied matter collineations, as a symmetry property of the energy-momentum tensor Tab and also, Hall et al [13] have presented a discussion of Ricci and matter collineations in space-time.…”

Ricci collineations of the Bianchi type II, VIII, and IX space-times

“…The relationship between the RCs and the isometries have been discussed in detail by Amir, Bokhari, and Qadir [10]. They provide the complete classification of the RCs according to the nature of the Ricci tensor which is constructed from a general spherically symmetric and static metric.…”

Ricci Collineations of Static Space Times with Maximal Symmetric Transverse Spaces

“…Ricci and matter collineations for static spherically symmetric space times have been studied recently by various authors [12], [13], [14], [15]. Amir, Bokhari and Qadir has found the relationship between the Ricci collineations and Killing vectors for these space times [12].…”

“…Ricci and matter collineations for static spherically symmetric space times have been studied recently by various authors [12], [13], [14], [15]. Amir, Bokhari and Qadir has found the relationship between the Ricci collineations and Killing vectors for these space times [12]. Contreras et al [16] have investigated Ricci collineations for non-static spherically symmetric space times and they have confined their study to the symmetries generated by the vector field of the form,…”