Exact solutions of Bianchi I spacetimes which admit Conformal Killing vectors
General Relativity and Quantum Cosmology
2015-02-13 v1 Mathematical Physics
math.MP
Abstract
We develop a new method in order to classify the Bianchi I spacetimes which admit conformal Killing vectors (CKV). The method is based on two propositions which relate the CKVs of 1+(n-1) decomposable Riemannian spaces with the CKVs of the (n-1) subspace and show that if 1+(n-1) space is conformally flat then the (n-1) spacetime is maximally symmetric. The method is used to study the conformal algebra of the Kasner spacetime and other less known Bianchi type I matter solutions of General Relativity.
Keywords
Cite
@article{arxiv.1501.02471,
title = {Exact solutions of Bianchi I spacetimes which admit Conformal Killing vectors},
author = {Michael Tsamparlis and Andronikos Paliathanasis and Leonidas Karpathopoulos},
journal= {arXiv preprint arXiv:1501.02471},
year = {2015}
}
Comments
17 pages; 3 tables; accepted for publication by Gen. Relativ. Gravit