具有非平凡拓扑的玻色子星
Boson Stars with Nontrivial Topology
摘要：
我们构造玻色子星的解决方案中存在的幻影场，允许一个非平凡的拓扑结构的解决方案。位于组态核心的虫洞导致了玻色子星解的一些质的变化。特别是，玻色子星的质量和粒子数对频率的典型螺旋依赖性消失了。相反，具有非平凡拓扑的玻色子星在消失频率的极限下接近奇异位形。根据耦合常数的大小，虫洞的几何形状从单喉道结构变为双喉道结构，其特征是在两个喉道之间有一个腹部。根据玻色子场的质量及其自相互作用，这些物体的质量和大小涵盖了许多数量级，使它们能够进行各种天体物理观测。稳定性分析表明，在玻色子物质的存在下，Ellis虫洞的不稳定模式被保留。然而，通过适当地调节自相互作用势的参数，负本征值可以非常接近于零。
英文摘要：
We construct boson star solutions in the presence of a phantom field, allowing for a nontrivial topology of the solutions. The wormholes residing at the core of the configurations lead to a number of qualitative changes of the boson star solutions. In particular, the typical spiraling dependence of the mass and the particle number on the frequency of the boson stars is lost. Instead, the boson stars with nontrivial topology approach a singular configuration in the limit of vanishing frequency. Depending on the value of the coupling constant, the wormhole geometry changes from a single throat configuration to a double throat configuration, featuring a belly inbetween the two throats. Depending on the mass of the boson field and its self-interaction, the mass and the size of these objects cover many orders of magnitude, making them amenable to various astrophysical observations. A stability analysis reveals, that the unstable mode of the Ellis wormhole is retained in the presence of the bosonic matter. However, the negative eigenvalue can get very close to zero, by tuning the parameters of the self-interaction potential appropriately.
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