DOI: 10.1140/epja/i2002-10046-4
Self-duality equations for spherically symmetric gauge fields
G. ZetDepartment of Physics, Technical University "Gh. Asachi", 6600 Iasi, Romania gzet@phys.tuiasi.ro
(Received: 24 May 2002 / Published online: 26 November 2002)
Abstract
A model of spherically symmetric
SU(2) gauge theory is considered. The
self-duality equations are written and it is shown that they are compatible
with the Einstein-Yang-Mills equations. It is proven that the
SU(2) gauge
model is self-dual on a Schwarzschild space-time but not on a
Reissner-Nordström one.
11.15.Kc - Classical and semiclassical techniques.
11.30.Ly - Other internal and higher symmetries.
© Società Italiana di Fisica, Springer-Verlag 2002