Forgács Péter, Reuillon Sébastien
Laboratoire de Mathématiques et PhysiqueThéorique, CNRS-UMR 6083, Université de Tours, Parc de Grandmont, 37200 Tours, France.
Phys Rev Lett. 2005 Aug 5;95(6):061101. doi: 10.1103/PhysRevLett.95.061101. Epub 2005 Aug 2.
New solutions to the static, spherically symmetric Einstein-Yang-Mills-Higgs equations with the Higgs field in the triplet (doublet) representation are presented. They form continuous families parametrized by alpha = M(W)/M(Pl) [M(W) (M(Pl)) denoting the W boson (the Planck) mass]. The corresponding space-times are regular and have spatially compact sections. A particularly interesting class with the Yang-Mills amplitude being nodeless is exhibited and is shown to be linearly stable with respect to spherically symmetric perturbations. For some solutions with nodes of the Yang-Mills amplitude a new stabilization phenomenon is found, according to which their unstable modes disappear as alpha increases (for the triplet) or decreases (for the doublet).
给出了具有三重态（二重态）表示的希格斯场的静态、球对称爱因斯坦 - 杨 - 米尔斯 - 希格斯方程的新解。它们形成了由α = M(W)/M(Pl) 参数化的连续族 [M(W) (M(Pl)) 表示W玻色子（普朗克）质量]。相应的时空是正则的，并且具有空间紧致截面。展示了一类特别有趣的情况，其中杨 - 米尔斯振幅无节点，并且相对于球对称微扰被证明是线性稳定的。对于一些具有杨 - 米尔斯振幅节点的解，发现了一种新的稳定现象，据此，随着α增加（对于三重态）或减小（对于二重态），它们的不稳定模式消失。
