On Waylen's regular axisymmetric similarity solutions
Date
2000
Authors
Fackerell, Edward D.
Hartley, David H.
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General Relativity and Gravitation. 32(5):857-864
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Edward D. Fackerell, David Hartley
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Abstract
We review the similarity solutions proposed by Waylen for a regular time–dependent axisymmetric vacuum space–time, and show that the key equation introduced to solve the invariant surface conditions is related by a Bäcklund transform to a restriction on the similarity variables. We further show that the vacuum space–times produced via this path automatically possess a (possibly homothetic) Killing vector, which may be time–like.
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© Springer, Part of Springer Science+Business Media