论文标题
将Noether定理应用于银河系：外部扰动的证据和GAIA数据版本2的非状态效应2
Applying Noether's theorem to matter in the Milky Way: evidence for external perturbations and non-steady-state effects from Gaia Data Release 2
论文作者
论文摘要
我们将Noether的定理应用于Gaia Data Release 2存档的主要序列恒星以探测星系的物质分布函数。也就是说，我们检查了垂直高度$ z $，$ 0.2 \ le | z |的星星的轴向对称性。 \ le 3 $ kpc，以探测角动量$ l_z $的质量作为运动的积分。这种对称性测试的失败将以一种银河系的方式说明，无论是在其可见和暗物质上都不是孤立和/或不处于稳定状态的。我们观察到的左右对称性模式北部和南方都揭示了这两种效应，与对称性的偏差通常为0.5％。我们表明，大型麦哲伦云的重力扭曲形式的巨大形式是由Erkal等人（2019年）由拟合到孤儿流确定的，与我们在高达144亿个主要星星的样本中发现的轴向对称性效果的大小和迹象相吻合，而不是出现的延伸，而不是出现的差异。
We apply Noether's theorem to observations of main-sequence stars from the Gaia Data Release 2 archive to probe the matter distribution function of the Galaxy. That is, we examine the axial symmetry of stars at vertical heights $z$, $0.2 \le |z| \le 3$ kpc, to probe the quality of the angular momentum $L_z$ as an integral of motion. The failure of this symmetry test would speak to a Milky Way, in both its visible and dark matter, that is not isolated and/or not in steady state. The left-right symmetry-breaking pattern we have observed, north and south, reveals both effects, with a measured deviation from symmetry of typically 0.5%. We show that a prolate form of the gravitational distortion of the Milky Way by the Large Magellanic Cloud, determined from fits to the Orphan stream by Erkal et al., 2019, is compatible with the size and sign of the axial-symmetry-breaking effects we have discovered in our sample of up to 14.4 million main-sequence stars, speaking to a distortion of an emergent, rather than static, nature.
