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Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes

Pantelis S. Apostolopoulos·Michael Tsamparlis
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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.

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Pantelis S. Apostolopoulos, Michael Tsamparlis. 2003-05-04. Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes. https://doi.org/10.1023/a%3A1026026517034

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