Abstract
We investigated the SU(2) Einstein–Yang–Mills system on a stationary axially symmetric nondiagonal spacetime. The equations are 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., [Formula: see text]. 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
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