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On Waylen's regular axisymmetric similarity solutions
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On Waylen's regular axisymmetric similarity solutions

Edward D Fackerell and David Hartley
ArXiv.org
09/30/1998
DOI: 10.48550/arxiv.gr-qc/9809082
url
https://doi.org/10.48550/arXiv.gr-qc/9809082View
Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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.
General Relativity and Quantum Cosmology

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