SELF-DUAL POINCARÉ GAUGE THEORY OF GRAVITATION

G. Zet () and V. Manta ()
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G. Zet: Department of Physics, "G. Asachi" Technical University, Iasi 6600, Romania
V. Manta: Department of Physics, "G. Asachi" Technical University, Iasi 6600, Romania

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 04, 509-516

Abstract: 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.

Keywords: Self-duality; computer algebra; gauge theory (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003267

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