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Comment: Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes
Authors:Pantelis S. Apostolopoulos  Michael Tsamparlis
Affiliation:(1) Department of Physics, Section of Astrophysics-Astronomy-Mechanics, University of Athens, Panepistemiopolis, Athens, 157 83, Greece
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. Rel. Grav.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.
Keywords:Matter Collineations  Bianchi I  Bianchi III  Kantowski-Sachs spacetimes
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