Exact solutions of Bianchi I spacetimes which admit Conformal Killing Vectors

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• 作者：Michael Tsamparlis (1)
  Andronikos Paliathanasis (2) (3)
  Leonidas Karpathopoulos (1)
  
  1. Department of Astrophysics - Astronomy - Mechanics ; Faculty of Physics ; University of Athens ; Panepistemiopolis ; 157 83 ; Athens ; Greece
  2. Dipartimento di Fisica ; Universita鈥?di Napoli ; 鈥淔ederico II鈥?Complesso Universitario di Monte S. Angelo ; Via Cintia Edificio 6 ; 80126 ; Naples ; Italy
  3. INFN ; Sezione di Napoli ; Complesso Universitario di Monte S. Angelo ; Via Cintia Edificio 6 ; 80126 ; Naples ; Italy
  
• 关键词：Bianchi I ; Conformal Killing Vectors ; Classification ; Conformally flat ; Lie algebra
• 刊名：General Relativity and Gravitation
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：47
• 期：2
• 全文大小：241 KB
• 参考文献：1. Kramer, D., Stephani, H., MacCallum, M., Herlt, E.: Exact Solutions of Einstein鈥檚 Field Equations. Cambridge University Press, Cambridge (1980)
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Relativity and Cosmology
  Differential Geometry
  Quantum Physics
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Netherlands
• ISSN：1572-9532

文摘

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 \(1+(\text {n}-1)\) decomposable Riemannian spaces with the CKVs of the \((\text {n}-1)\) subspace and show that if \(1+(\text {n}-1)\) space is conformally flat then the \((\text {n}-1)\) 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.