Einasto引力势难以束缚带核的球对称恒星系统
Einasto gravitational potentials have difficulty to hold spherically symmetric stellar systems with cores
AI总结：
该研究发现虽Einasto势中心梯度为零，但仍无法容纳带核的球对称恒星系统，此结论可通过矮星系恒星核观测约束暗物质性质。
摘要：
此前已知，具有各向同性速度和内核心的理想球对称恒星系统无法存在于Navarro, Frenk, and White（NFW，纳瓦罗-弗伦克-怀特）引力势中。这种不相容性可归结为NFW势在系统最中心的径向梯度不为零。而Einasto势（也是当前宇宙学模型所定义的冷暗物质（CDM）形成的暗物质（DM）晕的另一种表征）的中心梯度恒为零。本文表明，尽管内部梯度为零，恒星核仍与Einasto势不相容。这一结果或可通过解读矮星系中常观测到的恒星核，为约束暗物质的性质提供参考。
英文摘要：
It was known that an ideal spherically symmetric stellar system with isotropic velocities and an inner core cannot reside in a Navarro, Frenk, and White (NFW) gravitational potential. The incompatibility can be pinned down to the radial gradient of the NFW potential in the very center of the system, which differs from zero. The gradient is identically zero in an Einasto potential, also an alternative representation of the dark matter (DM) halos created by the kind of cold DM (CDM) defining the current cosmological model. Here we show that, despite the inner gradient being zero, stellar cores are also inconsistent with Einasto potentials. This result may have implications to constrain the nature of DM through interpreting the stellar cores often observed in dwarf galaxies.
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