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https://hdl.handle.net/2440/12511
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Type: | Journal article |
Title: | On Waylen's regular axisymmetric similarity solutions |
Author: | Fackerell, Edward D. Hartley, David H. |
Citation: | General Relativity and Gravitation. 32(5):857-864 |
Publisher: | Kluwer Academic Publishers-Plenum Publishers |
Issue Date: | 2000 |
ISSN: | 0001-7701 |
Statement of Responsibility: | Edward D. Fackerell, David Hartley |
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. |
Rights: | © Springer, Part of Springer Science+Business Media |
DOI: | 10.1023/A:1001980923501 |
Appears in Collections: | Physics publications |
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