论文标题

旋转玻色子星的链

Chains of rotating boson stars

论文作者

Gervalle, Romain

论文摘要

玻色子恒星是固定的,轴向对称解的复杂标量场理论与重力耦合。最近,据报道被解释为被重力结合的多个玻色子恒星的静态链,并携带无角动量的静态链。我们建议通过构造旋转玻色子恒星的链并分析其性质,将这些解决方案推广到固定情况下。使用有限元方法求解非线性椭圆场方程。我们发现,具有均匀成分的链条表现出与单个玻色子恒星相同的质量,角动量和斑点电荷的螺旋状频率依赖性。相比之下,具有奇数成分的链序列显示出非平凡的环开始并以平坦真空结束。结果,这种解决方案不能由单个参数唯一地参数化。我们猜想所有旋转链对应于单个玻色子恒星或它们对的激发。我们还分析了它们的平衡限制,并发现它们减少到$ Q $ - 球的链条。

Boson Stars are stationary, axially symmetric solutions of a complex scalar field theory coupled to gravity. Recently, multi-solitonic configurations interpreted as static chains of multiple Boson Stars bound by gravity and carrying no angular momentum were reported. We propose to generalize those solutions to the stationary case by constructing chains of rotating Boson Stars and analyze their properties. The non-linear elliptic field equations are solved using the finite element method. We find that chains with an even number of constituents exhibit the same spiral-like frequency dependence of their mass, angular momentum and Noether charge as single Boson Stars. In contrast, sequences of chains with an odd number of constituents show nontrivial loops starting and ending at the flat vacuum. As a consequence, such solutions cannot be uniquely parametrized by a single parameter. We conjecture that all rotating chains correspond to excitations of single Boson Stars or pairs of them. We also analyze their flat space limit and find that they reduce to chains of $Q$-balls.

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