Stars that evolve near the Galactic massive black hole show strange behaviors. The spectroscopic features of these stars show that they must be old. But their luminosities are much higher than the amounts that are predicted by the current stellar evolutionary models, which means that they must be active and young stars. In fact, this group of stars shows signatures of old and young stars, simultaneously. This is a paradox known as the “paradox of youth problem” (PYP). Some people tried to solve the PYP without supposing dark matter (DM) effects on stars. But, in this work, we implemented Weakly Interacting Massive Particles (WIMPs) annihilation as a new source of energy inside such stars. This implementation is logical for stars that evolve at high DM density environments. The new source of energy causes stars to follow different evolutionary paths on the H-R diagram in comparison with classical stellar evolutionary models. Increasing DM density in stellar evolutionary simulations causes the deviations from the standard H-R diagrams becomes more pronounced. By investigating the effects of WIMPs density on stellar structures and evolutions, we concluded that by considering DM effects on stars at the Galactic center, it is possible to solve the PYP. In addition to DM effect, complete solutions to PYP must consider all extreme and unique physical conditions that are present near the Galactic massive black hole.

中文翻译：

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暗物质对银河系中心恒星的影响：青年问题的悖论

在银河系大质量黑洞附近演化的恒星表现出奇怪的行为。这些恒星的光谱特征表明它们一定是古老的。但它们的光度远高于当前恒星演化模型预测的数量，这意味着它们一定是活跃的年轻恒星。事实上，这组恒星同时显示出老星和年轻星的特征。这是一个被称为“青年问题悖论”（PYP）的悖论。有些人试图在不考虑暗物质（DM）对恒星的影响的情况下解决 PYP。但是，在这项工作中，我们实施了弱相互作用大质量粒子 (WIMP) 湮灭作为此类恒星内部的新能源。这种实现对于在高 DM 密度环境中演化的恒星来说是合乎逻辑的。与经典恒星演化模型相比，新能源导致恒星在 HR 图上遵循不同的演化路径。在恒星演化模拟中增加 DM 密度会导致与标准 HR 图的偏差变得更加明显。通过研究 WIMPs 密度对恒星结构和演化的影响，我们得出结论，通过考虑 DM 对银河系中心恒星的影响，可以解决 PYP。除了 DM 效应，PYP 的完整解决方案必须考虑银河系大质量黑洞附近存在的所有极端和独特的物理条件。在恒星演化模拟中增加 DM 密度会导致与标准 HR 图的偏差变得更加明显。通过研究 WIMPs 密度对恒星结构和演化的影响，我们得出结论，通过考虑 DM 对银河系中心恒星的影响，可以解决 PYP。除了 DM 效应，PYP 的完整解决方案必须考虑银河系大质量黑洞附近存在的所有极端和独特的物理条件。在恒星演化模拟中增加 DM 密度会导致与标准 HR 图的偏差变得更加明显。通过研究 WIMPs 密度对恒星结构和演化的影响，我们得出结论，通过考虑 DM 对银河系中心恒星的影响，可以解决 PYP。除了 DM 效应，PYP 的完整解决方案必须考虑银河系大质量黑洞附近存在的所有极端和独特的物理条件。