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26 April 2024
 
  » arxiv » gr-qc/0305016

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Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes
Pantelis S. Apostolopoulos ; Michael Tsamparlis ;
Date 4 May 2003
Journal Gen.Rel.Grav. 35 (2003) 1869-1876
Subject gr-qc
AbstractWe 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.
Source arXiv, gr-qc/0305016
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