变质量颗粒团的稳定性
Stability of mass varying particle lumps
摘要：
理论描述的紧凑结构，共享一些关键特征的质量变化的粒子允许一个简单的分析的平衡和稳定性的大质量恒星体。本文研究了由非重子物质（中微子或暗物质）组成的系统的静态球对称爱因斯坦方程解，该系统通过背景标量场（暗能量）介导的吸引力形成稳定的结构。假设暗物质或大质量中微子是由弱相互作用粒子组成的气体，与标量场的耦合就转化为复合粒子的质量对弯曲时空径向坐标的有效依赖。稳定性分析表明，这些静态的解决方案变得动态不稳定的总质量，能量和恒星半径之间的比率，$M/R$不同的Buchdahl限制。我们还发现经常的解决方案，外部观察者类似史瓦西黑洞。我们的分析没有回答这样的解是否存在的问题，这些解既规则又稳定。
英文摘要：
The theoretical description of compact structures that share some key features with mass varying particles allows for a simple analysis of equilibrium and stability for massive stellar bodies. We investigate static, spherically symmetric solutions of Einstein equations for a system composed by nonbaryonic matter (neutrinos or dark matter) which forms stable structures through attractive forces mediated by a background scalar-field (dark energy). Assuming that the dark matter, or massive neutrinos, consist of a gas of weakly interacting particles, the coupling with the scalar field is translated into an effective dependence of the mass of the compounding particle on the radial coordinate of the curved spacetime. The stability analysis reveals that these static solutions become dynamically unstable for different Buchdahl limits of the ratio between the total mass-energy and the stellar radius, $M/R$. We also find regular solutions that for an external observer resemble Schwarzschild black-holes. Our analysis leaves unanswered the question whether such solutions, which are both regular and stable, do exist.
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