SELF-DUAL POINCARÉ GAUGE THEORY OF GRAVITATION
2002 ◽
Vol 13
(04)
◽
pp. 509-516
◽
Keyword(s):
The Self
◽
A model of Poincaré gauge self-dual theory over the Minkowski space–time, endowed with spherical symmetry, is considered. The self-duality (S-D) conditions are imposed and two sets of the self-duality equations for the gauge fields are obtained: one for the torsion tensor and another for the curvature tensor. An analytical solution of the gauge field equations is also obtained. The Yang–Mills (Y–M) equations of the gauge fields are also derived. It is shown that these Y–M equations can be obtained from the S-D equations, a result which is generally true for any S-D gauge theory. Most of all calculations are performed using the GRTensorII package, running on the MapleV platform.
ALTERNATIVE FORMULATION FOR DUALITY-SYMMETRIC 11-DIMENSIONAL SUPERGRAVITY COUPLED TO SUPER M-5-BRANE
1999 ◽
Vol 14
(15)
◽
pp. 977-992
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Keyword(s):
The Self
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2004 ◽
Vol 15
(07)
◽
pp. 1031-1038
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1988 ◽
Vol 03
(05)
◽
pp. 497-509
◽
Keyword(s):
1992 ◽
Vol 07
(23)
◽
pp. 2077-2085
◽
Keyword(s):
2007 ◽
Vol 16
(06)
◽
pp. 1027-1041
◽
Keyword(s):