In our current best cosmological model, the vast majority of matter in the universe is dark, consisting of yet undetected, nonbaryonic particles that do not interact electro-magnetically. So far, the only significant evidence for dark matter has been found in its gravitational interaction, as observed in galaxy rotation curves or gravitational lensing effects. The inferred dark matter agglomerations follow almost universal mass density profiles that can be reproduced well in simulations, but have eluded an explanation from a theoretical viewpoint. Forgoing standard (astro-)physical methods, I show that it is possible to derive these profiles from an intriguingly simple mathematical approach that directly determines the most likely spatial configuration of a self-gravitating ensemble of collisionless dark matter particles.

中文翻译：

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自引力暗物质成形

在我们目前最好的宇宙学模型中，宇宙中的绝大多数物质都是黑暗的，由尚未被发现的非重子粒子组成，它们不会发生电磁相互作用。到目前为止，暗物质的唯一重要证据是在其引力相互作用中发现的，正如在星系旋转曲线或引力透镜效应中观察到的那样。推断的暗物质团聚遵循几乎普遍的质量密度分布，可以在模拟中很好地再现，但从理论的角度来看却没有得到解释。放弃标准（天体）物理方法，我表明可以从一种有趣的简单数学方法中推导出这些轮廓，该方法直接确定无碰撞暗物质粒子的自引力集合最可能的空间配置。