Abstract
Two ways in which exact solutions of Einstein’s field equations can be classified are by the existence of preferred vector fields, such as Killing vectors, and by its embedding class in a higher dimensional pseudoeuclidean space. The present paper shows how the notion of Killing and conformai Killing vectors find simple expression in the geometric calculus on vector manifolds, and considers a number of different isometric embeddings of exact solutions in pseudoeuclidean space.
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© 1986 D. Reidel Publishing Company
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Sobczyk, G.E. (1986). Killing Vectors and Embedding of Exact Solutions in General Relativity. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_19
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DOI: https://doi.org/10.1007/978-94-009-4728-3_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8602-8
Online ISBN: 978-94-009-4728-3
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