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arXiv · hep-th/9605089

Cosmological Analogues of the Bartnik--McKinnon Solutions

M. S. Volkov·N. Straumann·G. Lavrelashvili·M. Heusler·O. Brodbeck
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Abstract

We present a numerical classification of the spherically symmetric, static solutions to the Einstein--Yang--Mills equations with cosmological constant $Λ$. We find three qualitatively different classes of configurations, where the solutions in each class are characterized by the value of $Λ$ and the number of nodes, $n$, of the Yang--Mills amplitude. For sufficiently small, positive values of the cosmological constant, $Λ< \Llow(n)$, the solutions generalize the Bartnik--McKinnon solitons, which are now surrounded by a cosmological horizon and approach the deSitter geometry in the asymptotic region. For a discrete set of values $Λ_{\rm reg}(n) > Λ_{\rm crit}(n)$, the solutions are topologically $3$--spheres, the ground state $(n=1)$ being the Einstein Universe. In the intermediate region, that is for $\Llow(n) < Λ< \Lhig(n)$, there exists a discrete family of global solutions with horizon and ``finite size''.

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M. S. Volkov, N. Straumann, G. Lavrelashvili, M. Heusler, O. Brodbeck. 1996-05-13. Cosmological Analogues of the Bartnik--McKinnon Solutions. https://doi.org/10.1103/physrevd.54.7243

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