Exact solutions of Bianchi I spacetimes which admit Conformal Killing Vectors

We develop a new method in order to classify the Bianchi I spacetimes which admit Conformal Killing Vectors (CKVs). 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 ) spa...

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Bibliographic Details
Published in:General relativity and gravitation 2015-02, Vol.47 (2), Article 15
Main Authors: Tsamparlis, Michael, Paliathanasis, Andronikos, Karpathopoulos, Leonidas
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Theoretical
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Summary:We develop a new method in order to classify the Bianchi I spacetimes which admit Conformal Killing Vectors (CKVs). 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.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-015-1856-x