5-dimensional covariance and generation of solutions to the Einstein equations
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Publication:1576116
zbMATH Open0957.83012arXivgr-qc/0212098MaRDI QIDQ1576116
Publication date: 1 April 2001
Published in: Gravitation \& Cosmology (Search for Journal in Brave)
Abstract: A generation procedure, based on the 5-dimensional covariance of the Kaluza-Klein theory, is developed. The procedure allows one to obtain exact solutions of the 4-dimensional Einstein equations with electromagnetic and scalar fields from vacuum 5-dimensional solutions using special 5-dimensional coordinate transformations. Relations between the physical properties of the resulting solutions and invariant geometrical properties of the generating Killing vectors are found out.
Full work available at URL: https://arxiv.org/abs/gr-qc/0212098
Kaluza-Klein and other higher-dimensional theories (83E15) Exact solutions to problems in general relativity and gravitational theory (83C15)
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