Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes
arXiv:gr-qc/0305016 · doi:10.1023/A:1026026517034
Abstract
We show that the classification of Kantowski-Sachs, Bianchi Types I and III spacetimes admitting Matter Collineations (MCs) presented in a recent paper by Camci et al. [Camci, U., and Sharif, M. {Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes}, 2003 Gen. Relativ. Grav. vol. 35, 97-109] is incomplete. Furthermore for these spacetimes and when the Einstein tensor is non-degenerate, we give the complete Lie Algebra of MCs and the algebraic constraints on the spatial components of the Einstein tensor.
arXiv comment10 pages, Latex. Accepted for publication in General Relativity and Gravitation