Volume 8, Issue 4, November 2001, Pages 475 - 490
Symmetry, Singularities and Integrability in Complex Dynamics V: Complete Symmetry Groups of Certain Relativistic Spherically Symmetric Systems
Authors
P.G.L. Leach, M.C. Nucci, S. Cotsakis
Corresponding Author
P.G.L. Leach
Received 3 August 2000, Revised 4 May 2001, Accepted 5 May 2001, Available Online 1 November 2001.
- DOI
- 10.2991/jnmp.2001.8.4.4How to use a DOI?
- Abstract
We show that the concept of complete symmetry group introduced by Krause (J. Math. Phys. 35 (1994), 57345748) in the context of the Newtonian Kepler problem has wider applicability, extending to the relativistic context of the Einstein equations dscribing spherically symmetric bodies with certain conformal Killing symmetries. We also provide a simple demonstration of the nonuniqueness of the complete symmetry group.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - P.G.L. Leach AU - M.C. Nucci AU - S. Cotsakis PY - 2001 DA - 2001/11/01 TI - Symmetry, Singularities and Integrability in Complex Dynamics V: Complete Symmetry Groups of Certain Relativistic Spherically Symmetric Systems JO - Journal of Nonlinear Mathematical Physics SP - 475 EP - 490 VL - 8 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2001.8.4.4 DO - 10.2991/jnmp.2001.8.4.4 ID - Leach2001 ER -