论文标题

稳定的黑洞与杨磨头发

Stable Black Hole with Yang-Mills Hair

论文作者

Chen, Yuewen, Du, Jie, Yau, Shing-Tung

论文摘要

我们提出了用SU(2)仪表组的静态球形对称爱因斯坦阳性阵线方程的稳定解。该解决方案在r = 0时渐近且规则,并具有非平凡的杨木(YM)连接。通过量化Arnowitt-Deser-Misner(ADM)质量的量化值,解决方案渐近地接近Schwarzschild溶液,并具有零全局YM电荷。数值证据表明,该解决方案既线性和非线性稳定,并且在地平线上具有一定的通用曲率奇异性。该稳定的解决方案提供了对无头发猜想的有效反例。此外,稳定的黑洞溶液表明,量规场与早期宇宙中的重力的耦合将产生一种新型的黑洞。它们的稳定性意味着这些可能是早期宇宙中留下的原始黑洞的新来源,并且是暗物质的新候选人。

We present stable solution of static spherically symmetric Einstein-Yang-Mills equations with the SU(2) gauge group. This solution is asymptotically flat and regular at r = 0 and with nontrivial Yang-Mills(YM) connection. With quantized values of the Arnowitt-Deser-Misner (ADM) mass, the solutions asymptotically approach the Schwarzschild solution and have zero global YM charges. Numerical evidences suggest that this solution is both linearly and nonlinearly stable and has a ring of generic curvature singularities along the horizon. An effective counterexample to the no-hair conjecture is provided by this stable solution. Moreover, the stable black hole solution suggests that the coupling of gauge field to gravity in early Universe will generate a new type of black holes. Their stability means that these might be a possible new source of primordial black holes left over from the early Universe and serves as a possible new candidate for dark matter.

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