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On Waylen's regular axisymmetric similarity solutions

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 Baecklund 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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Edward D. Fackerell, David Hartley. 1998-09-30. On Waylen's regular axisymmetric similarity solutions. https://doi.org/10.1023/a%3A1001980923501

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