On Waylen's regular axisymmetric similarity solutions

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

1998-09-30

arxiv.org/abs/gr-qc/9809082v1

Gen.Rel.Grav. 32 (2000) 856-864

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, LaTeX2e

Scientific paper

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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