论文标题
Yang-极端Reissner中的单孔 - Nordström黑洞公制
Yang--Mills Monopoles in Extremal Reissner--Nordström Black Hole Metric
论文作者
论文摘要
我们表明，连接两个不同真空状态的封闭形式的单子溶液，对于极端reissner上的外部杨 - 米尔斯波方程 - 在Bizoń和Kahl最近的一项工作中发现的Nordström时空，是相关域壁类型能量最小化问题的独特解决方案。我们还得出了同一形式主义中伴随的内部杨 - 米尔斯波方程。我们获得了一些更封闭形式的解决方案，包括规则和奇异的振荡行为解决方案，并根据某些能量考虑讨论了解决方案的一些有趣特征。
We show that the closed-form monotone solution linking two different vacuum states, for the exterior Yang--Mills wave equation over the extremal Reissner--Nordström spacetime found in a recent work of Bizoń and Kahl, is the unique solution to an associated domain-wall type energy minimization problem. We also derive the accompanying interior Yang--Mills wave equation within the same formalism. We obtain a few more closed-form solutions, regular and singular, among other solutions of oscillatory behavior, and discuss several interesting features of the solutions based on some energy consideration.
