We show that the concept of complete symmetry group introduced by Krause (J. Math. Phys. 35 (1994), 5734-5748) in the context of the Newtonian Kepler problem has wider applicability, extending to the relativistic context of the Einstein equations describing spherically symmetric bodies with certain conformal Killing symmetries. We also provide a simple demonstration of the nonuniqueness of the complete symmetry group.
Leach P. G. L., NUCCI, M.C., Cotsakis S. (2001). Symmetry, singularities and integrability in complex dynamics V: Complete symmetry groups of certain relativistic spherically symmetric systems. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 8(4), 475-490 [10.2991/jnmp.2001.8.4.4].
Symmetry, singularities and integrability in complex dynamics V: Complete symmetry groups of certain relativistic spherically symmetric systems
NUCCI, Maria Clara;
2001
Abstract
We show that the concept of complete symmetry group introduced by Krause (J. Math. Phys. 35 (1994), 5734-5748) in the context of the Newtonian Kepler problem has wider applicability, extending to the relativistic context of the Einstein equations describing spherically symmetric bodies with certain conformal Killing symmetries. We also provide a simple demonstration of the nonuniqueness of the complete symmetry group.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
