We investigated the SU(2) Einstein-Yang-Mills system on a stationary axially symmetric nondiagonal spacetime. The equations axe numerically solved. There is evidence for the existence of a regular solution with nonvanishing angular momentum, and finite energy density for all r. The behavior of the solution depends critical on the ratio of the Planck scale M-pl and Yang-Mills couplings constant g, i.e., alpha = M-pl/g = 1/root4piG g. Further, the asymptotic behavior of the solution is strongly affected by the boundary conditions of one of the YM components at z = 0. It is conjectured that the singular behavior of the metric components at Finite distance of the core is related to the gravitational instability found in the self-gravitating flat-space non-Abelian monopole, the Einstein-Skyrme model and Einstein-Yang-Mills-Higgs model. [References: 42]
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