Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-27T19:01:21.373Z Has data issue: false hasContentIssue false
  • English
  • Français

Applications of symmetry groups and the Wahlquist-Estabrook procedure in general relativity

Published online by Cambridge University Press:  17 April 2009

Phillip Charles Harmsworth
Phillip Charles Harmsworth
Affiliation:
Department of Applied Mathematics, University of Sydney, New South Wales, Australia. 2006
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian of PhD theses
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 3 , June 1988 , pp. 471 - 472
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Cosgrove, C.M., ‘A new formulation of the field equations for the stationary axisymmetric vacuum gravitational field I. General theory’, J.Phys. A:Math. Gen 11 (1978a), 2389–2404.CrossRefGoogle Scholar
[2]Cosgrove, C.M., ‘A new formulation of the field equations for the stationary axisymmetric gravitational field II. Separable solutions’, J. Phys. A:Math. Gen 11 (1978b), 2405–2430.CrossRefGoogle Scholar
[3]Cosgrove, C.M., ‘Stationary axisymmetric gravitational fields: an asymptotic flatness preserving transformation’, in Proc. Einstein Centenary Summer School, Perth W.A. 124: Lecture Notes in Physics, Edited by Edwards, C., 22–3101, 1979 (Springer, 1980).Google Scholar
[4]Dodd, R.K. and Fordy, A., ‘The prolongation structures of quasi-polynomial flows’, Proc. Roy. Soc. Lond. Ser A 385 (1983), 389–429.Google Scholar
[5]Ernst, F.J., ‘New formulation of the axially symmetric gravitational field problem’, Phys. Rev. 167 (1968), 1175–1178.CrossRefGoogle Scholar
[6]Estabrook, F.B. and Wahlquist, H.D., ‘Prolongation structures of nonlinear evolution equations II’, J. Math. Phys. 17 (1976), 1293–1297.CrossRefGoogle Scholar
[7]Harrison, B.K., ‘Unification of Ernst-equation Bäcklund transformations using a modified Wahlquist-Estabrook technique’, J. Math. Phys. 24 (1983), 2178–2187.CrossRefGoogle Scholar
[8]Hermann, R., ‘Pseudopotentials of Estabrook and Wahlquist, the geometry of solitons and the theory of connections’, Phys. Rev. Lett. 37 (1976), 835–836.CrossRefGoogle Scholar
[9]Neugebauer, G., ‘Bäcklund transformations of axially symmetric gravitational fields’, J. Phys. A: Math. Gen. 12 (1979), L67–L70.CrossRefGoogle Scholar
[10]Wahlquist, H.D. and Estabrook, F.B., ‘Prolongation structures of nonlinear evolution equations’, J. Maths. Phys. 18 (1975), 1–7.CrossRefGoogle Scholar