Cosmological Analogues of the Bartnik--McKinnon Solutions

Details Cosmological Analogues of the Bartnik--McKinnon Solutions Cosmological Analogues of the Bartnik--McKinnon Solutions

1996-05-13

arxiv.org/abs/hep-th/9605089v1

Phys.Rev.D54:7243-7251,1996

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, 9 Postscript figures, uses epsf.sty

Scientific paper

10.1103/PhysRevD.54.7243

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''.

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