Reissner--Nordström-de--Sitter-type Solution by a Gauge Theory of Gravity

  • We use the theory based on a gravitational gauge group (Wu's model) to obtain a spherical symmetric solution of the field equations for the gravitational potential on a Minkowski spacetime. The gauge group, the gauge covariant derivative, the strength tensor of the gauge field, the gauge invariant Lagrangean with the cosmological constant, the field equations of the gauge potentials with a gravitational energy--momentum tensor as well as with a tensor of the field of a point like source are determined. Finally, a Reissner--Nordström--de Sitter-type metric on the gauge group space is obtained.
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