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- W2028223742 abstract "We present a numerical classification of the spherically symmetric, static solutions to the Einstein--Yang--Mills equations with cosmological constant $Lambda$. We find three qualitatively different classes of configurations, where the solutions in each class are characterized by the value of $Lambda$ and the number of nodes, $n$, of the Yang--Mills amplitude. For sufficiently small, positive values of the cosmological constant, $Lambda < Llow(n)$, 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 $Lambda_{rm reg}(n) > Lambda_{rm crit}(n)$, the solutions are topologically $3$--spheres, the ground state $(n=1)$ being the Einstein Universe. In the intermediate region, that is for $Llow(n) < Lambda < Lhig(n)$, there exists a discrete family of global solutions with horizon and ``finite size''." @default.
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- W2028223742 date "1996-12-15" @default.
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- W2028223742 title "Cosmological analogues of the Bartnik-McKinnon solutions" @default.
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- W2028223742 doi "https://doi.org/10.1103/physrevd.54.7243" @default.
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