Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes
General Relativity and Quantum Cosmology
2015-06-25 v1
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.
Cite
@article{arxiv.gr-qc/0305016,
title = {Note on Matter Collineations in Kantowski-Sachs, Bianchi Types I and III Spacetimes},
author = {Pantelis S. Apostolopoulos and Michael Tsamparlis},
journal= {arXiv preprint arXiv:gr-qc/0305016},
year = {2015}
}
Comments
10 pages, Latex. Accepted for publication in General Relativity and Gravitation